The results below are complete, since the LMFDB contains all elliptic curves with conductor norm at most 100000 over imaginary quadratic fields with absolute discriminant 4

Note: The completeness Only modular elliptic curves are included

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Results (1-50 of 96 matches)

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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
66560.4-a1 66560.4-a \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.478451125$ 1.478451125 \( -\frac{109298}{1625} a + \frac{1963264}{1625} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( -14 i + 13\) , \( 15 i - 14\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+\left(-14i+13\right){x}+15i-14$
66560.4-a2 66560.4-a \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.739225562$ 1.478451125 \( \frac{321047281}{2640625} a + \frac{6395175767}{2640625} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( 66 i - 67\) , \( 191 i - 62\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+\left(66i-67\right){x}+191i-62$
66560.4-b1 66560.4-b \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.610966883$ 1.221933767 \( -\frac{41546262094}{120670225} a + \frac{205320721442}{120670225} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 110 i + 61\) , \( 177 i - 222\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(110i+61\right){x}+177i-222$
66560.4-b2 66560.4-b \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.221933767$ 1.221933767 \( \frac{904474088}{10985} a + \frac{641656096}{10985} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( 70 i + 21\) , \( -89 i - 202\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+\left(70i+21\right){x}-89i-202$
66560.4-c1 66560.4-c \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.559451823$ $3.606452212$ 4.035272532 \( -\frac{351232}{65} a - \frac{43904}{65} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 5\) , \( 4 i - 1\bigr] \) ${y}^2={x}^{3}-{x}^{2}+5{x}+4i-1$
66560.4-c2 66560.4-c \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.279725911$ $1.803226106$ 4.035272532 \( \frac{2903096}{4225} a - \frac{2150728}{4225} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -10 i - 5\) , \( 26 i - 7\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-10i-5\right){x}+26i-7$
66560.4-d1 66560.4-d \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.538321669$ $2.444931454$ 5.264638333 \( -\frac{2662912}{65} a - \frac{16922944}{65} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 2 i + 21\) , \( 45 i - 6\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(2i+21\right){x}+45i-6$
66560.4-d2 66560.4-d \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.538321669$ $1.222465727$ 5.264638333 \( -\frac{20996208}{8125} a - \frac{1102494856}{8125} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 62 i - 45\) , \( -278 i + 57\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(62i-45\right){x}-278i+57$
66560.4-d3 66560.4-d \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.538321669$ $2.444931454$ 5.264638333 \( \frac{631296}{4225} a + \frac{2516672}{4225} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 2 i - 5\) , \( -6 i - 3\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(2i-5\right){x}-6i-3$
66560.4-d4 66560.4-d \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.538321669$ $1.222465727$ 5.264638333 \( -\frac{110967056}{142805} a + \frac{597885848}{142805} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -18 i + 35\) , \( -46 i - 63\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-18i+35\right){x}-46i-63$
66560.4-e1 66560.4-e \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.503914775$ $0.438225313$ 3.071008299 \( -\frac{10359522503116}{3570125} a - \frac{4364617727362}{3570125} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 942 i - 179\) , \( 9945 i + 5210\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(942i-179\right){x}+9945i+5210$
66560.4-e2 66560.4-e \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.503914775$ $0.438225313$ 3.071008299 \( \frac{2896194844812}{3173828125} a + \frac{3398200522034}{3173828125} \) \( \bigl[0\) , \( i\) , \( 0\) , \( -178 i + 141\) , \( 1017 i + 730\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(-178i+141\right){x}+1017i+730$
66560.4-e3 66560.4-e \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.751957387$ $0.876450626$ 3.071008299 \( -\frac{3643553424}{2640625} a + \frac{4710369332}{2640625} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 62 i - 19\) , \( 105 i + 90\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(62i-19\right){x}+105i+90$
66560.4-e4 66560.4-e \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.875978693$ $1.752901252$ 3.071008299 \( \frac{50931328}{1625} a + \frac{11807696}{1625} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 22 i - 19\) , \( -63 i + 10\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(22i-19\right){x}-63i+10$
66560.4-f1 66560.4-f \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.320181674$ $1.343619596$ 3.547643937 \( -\frac{8646624}{4225} a - \frac{66027268}{4225} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 42 i - 5\) , \( -78 i - 65\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(42i-5\right){x}-78i-65$
66560.4-f2 66560.4-f \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.320181674$ $0.335904899$ 3.547643937 \( \frac{94078100761841}{20393268025} a - \frac{11284537597913}{20393268025} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -518 i - 5\) , \( -2990 i + 3855\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-518i-5\right){x}-2990i+3855$
66560.4-f3 66560.4-f \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.640363349$ $0.671809798$ 3.547643937 \( -\frac{15461171586}{17850625} a - \frac{9080741152}{17850625} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 42 i + 75\) , \( -414 i + 223\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(42i+75\right){x}-414i+223$
66560.4-f4 66560.4-f \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.660090837$ $2.687239192$ 3.547643937 \( \frac{75008}{65} a - \frac{29104}{65} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 2 i - 5\) , \( 2 i - 9\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(2i-5\right){x}+2i-9$
66560.4-f5 66560.4-f \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.320181674$ $0.335904899$ 3.547643937 \( \frac{143087370512191}{66015625} a + \frac{29292377558137}{66015625} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 602 i + 1435\) , \( -19342 i + 13743\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(602i+1435\right){x}-19342i+13743$
66560.4-f6 66560.4-f \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.640363349$ $0.671809798$ 3.547643937 \( \frac{4355686402}{65} a + \frac{17124606704}{65} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 682 i - 85\) , \( -5502 i - 3937\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(682i-85\right){x}-5502i-3937$
66560.4-g1 66560.4-g \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.950137962$ $1.010888025$ 3.841932355 \( \frac{1316533592}{5078125} a + \frac{4461748744}{5078125} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 6 i - 37\) , \( -74 i - 57\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(6i-37\right){x}-74i-57$
66560.4-g2 66560.4-g \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.475068981$ $2.021776050$ 3.841932355 \( -\frac{77915904}{105625} a + \frac{319705472}{105625} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -4 i + 13\) , \( -12 i - 3\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-4i+13\right){x}-12i-3$
66560.4-g3 66560.4-g \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.950137962$ $1.010888025$ 3.841932355 \( \frac{7896440776}{714025} a + \frac{17300354632}{714025} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -14 i + 83\) , \( 274 i + 95\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-14i+83\right){x}+274i+95$
66560.4-g4 66560.4-g \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.950137962$ $2.021776050$ 3.841932355 \( -\frac{1098239808}{325} a + \frac{1381370144}{325} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 16 i - 46\) , \( -78 i + 108\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(16i-46\right){x}-78i+108$
66560.4-h1 66560.4-h \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.442419294$ $0.852292054$ 4.163309118 \( -\frac{9109431098}{8125} a - \frac{703641086}{8125} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( -40 i + 216\) , \( 1264 i + 432\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-40i+216\right){x}+1264i+432$
66560.4-h2 66560.4-h \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.221209647$ $1.704584109$ 4.163309118 \( -\frac{2630664}{4225} a + \frac{6709952}{4225} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( 16\) , \( 16 i + 16\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+16{x}+16i+16$
66560.4-h3 66560.4-h \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.610604823$ $3.409168218$ 4.163309118 \( \frac{42112}{65} a + \frac{108224}{65} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( -4\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}-4{x}$
66560.4-h4 66560.4-h \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.442419294$ $0.852292054$ 4.163309118 \( \frac{9896441706}{142805} a + \frac{2615329822}{142805} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( 40 i + 136\) , \( -528 i + 304\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(40i+136\right){x}-528i+304$
66560.4-i1 66560.4-i \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.313678050$ 2.627356100 \( \frac{529551432}{65} a - \frac{141856056}{65} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -74 i + 96\) , \( -284 i - 428\bigr] \) ${y}^2={x}^{3}+\left(-74i+96\right){x}-284i-428$
66560.4-i2 66560.4-i \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.627356100$ 2.627356100 \( \frac{43250112}{8125} a - \frac{60539616}{8125} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -4 i - 9\) , \( 8 i + 10\bigr] \) ${y}^2={x}^{3}+\left(-4i-9\right){x}+8i+10$
66560.4-i3 66560.4-i \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.627356100$ 2.627356100 \( -\frac{9517824}{4225} a - \frac{4503168}{4225} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -4 i + 6\) , \( -4 i - 8\bigr] \) ${y}^2={x}^{3}+\left(-4i+6\right){x}-4i-8$
66560.4-i4 66560.4-i \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.313678050$ 2.627356100 \( \frac{274354776}{142805} a - \frac{143271288}{142805} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -14 i - 24\) , \( -60 i - 36\bigr] \) ${y}^2={x}^{3}+\left(-14i-24\right){x}-60i-36$
66560.4-j1 66560.4-j \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.243141857$ $1.727275348$ 3.359783495 \( \frac{13611976}{4225} a + \frac{12834632}{4225} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 12 i + 16\) , \( 4 i - 28\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(12i+16\right){x}+4i-28$
66560.4-j2 66560.4-j \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.486283715$ $3.454550697$ 3.359783495 \( -\frac{697088}{65} a + \frac{409984}{65} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 2 i + 6\) , \( -8 i\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(2i+6\right){x}-8i$
66560.4-k1 66560.4-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.169834036$ 1.528506326 \( -\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 1612 i - 2864\) , \( 52092 i - 51060\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(1612i-2864\right){x}+52092i-51060$
66560.4-k2 66560.4-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.509502108$ 1.528506326 \( \frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -148 i - 304\) , \( 1724 i + 1932\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-148i-304\right){x}+1724i+1932$
66560.4-k3 66560.4-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.254751054$ 1.528506326 \( \frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -468 i + 16\) , \( -964 i + 7692\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-468i+16\right){x}-964i+7692$
66560.4-k4 66560.4-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.084917018$ 1.528506326 \( -\frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 4172 i - 304\) , \( -16516 i - 201588\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(4172i-304\right){x}-16516i-201588$
66560.4-k5 66560.4-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.528506326$ 1.528506326 \( \frac{31409}{130} a + \frac{101344}{65} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 12 i + 16\) , \( -4 i + 12\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(12i+16\right){x}-4i+12$
66560.4-k6 66560.4-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.764253163$ 1.528506326 \( \frac{4406742137}{8450} a + \frac{1310300809}{8450} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 172 i + 176\) , \( -708 i + 1356\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(172i+176\right){x}-708i+1356$
66560.4-l1 66560.4-l \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.339330493$ $1.504273737$ 4.083567602 \( -\frac{18805284}{4225} a - \frac{16444188}{4225} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -22 i + 16\) , \( 4 i + 60\bigr] \) ${y}^2={x}^{3}+\left(-22i+16\right){x}+4i+60$
66560.4-l2 66560.4-l \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.678660987$ $3.008547475$ 4.083567602 \( \frac{23328}{65} a - \frac{74304}{65} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 i - 4\) , \( 4 i + 4\bigr] \) ${y}^2={x}^{3}+\left(-2i-4\right){x}+4i+4$
66560.4-m1 66560.4-m \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.966400192$ 1.932800384 \( \frac{510916}{2640625} a + \frac{1029212}{2640625} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -2 i + 3\) , \( 138 i - 55\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-2i+3\right){x}+138i-55$
66560.4-m2 66560.4-m \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.932800384$ 1.932800384 \( -\frac{2652512}{1625} a + \frac{67882816}{1625} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 18 i - 17\) , \( 38 i - 11\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(18i-17\right){x}+38i-11$
66560.4-n1 66560.4-n \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.974738077$ $0.605984328$ 4.725407994 \( -\frac{2126611839544}{1650390625} a - \frac{1896067742008}{1650390625} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( -122 i - 11\) , \( -633 i + 262\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+\left(-122i-11\right){x}-633i+262$
66560.4-n2 66560.4-n \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.949476154$ $1.211968657$ 4.725407994 \( \frac{197995242752}{40625} a + \frac{62654740864}{40625} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( -132 i - 21\) , \( -499 i + 268\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+\left(-132i-21\right){x}-499i+268$
66560.4-o1 66560.4-o \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.460504677$ 2.460504677 \( \frac{3752}{65} a - \frac{7136}{65} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -2 i + 3\) , \( 6 i + 7\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-2i+3\right){x}+6i+7$
66560.4-o2 66560.4-o \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.230252338$ 2.460504677 \( \frac{109815566}{4225} a + \frac{7969262}{4225} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -42 i - 37\) , \( 142 i + 31\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-42i-37\right){x}+142i+31$
66560.4-p1 66560.4-p \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.169834036$ 1.528506326 \( -\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -1612 i + 2864\) , \( -51060 i - 52092\bigr] \) ${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-1612i+2864\right){x}-51060i-52092$
66560.4-p2 66560.4-p \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5 \cdot 13 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.509502108$ 1.528506326 \( \frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) \( \bigl[0\) , \( i - 1\) , \( 0\) , \( 148 i + 304\) , \( 1932 i - 1724\bigr] \) ${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(148i+304\right){x}+1932i-1724$
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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.