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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
768.a4 768.a \( 2^{8} \cdot 3 \) $1$ $\Z/2\Z$ $0.566658376$ $[0, -1, 0, 1, 3]$ \(y^2=x^3-x^2+x+3\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
768.d4 768.d \( 2^{8} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 3, -27]$ \(y^2=x^3-x^2+3x-27\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
768.e4 768.e \( 2^{8} \cdot 3 \) $1$ $\Z/2\Z$ $1.122410996$ $[0, 1, 0, 1, -3]$ \(y^2=x^3+x^2+x-3\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
768.h4 768.h \( 2^{8} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 3, 27]$ \(y^2=x^3+x^2+3x+27\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
2304.b4 2304.b \( 2^{8} \cdot 3^{2} \) $1$ $\Z/2\Z$ $1.007607224$ $[0, 0, 0, 24, 704]$ \(y^2=x^3+24x+704\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
2304.e4 2304.e \( 2^{8} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 24, -704]$ \(y^2=x^3+24x-704\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
2304.l4 2304.l \( 2^{8} \cdot 3^{2} \) $1$ $\Z/2\Z$ $0.852619742$ $[0, 0, 0, 6, 88]$ \(y^2=x^3+6x+88\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
2304.o4 2304.o \( 2^{8} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 6, -88]$ \(y^2=x^3+6x-88\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
19200.f4 19200.f \( 2^{8} \cdot 3 \cdot 5^{2} \) $1$ $\Z/2\Z$ $1.695450196$ $[0, -1, 0, 67, 3237]$ \(y^2=x^3-x^2+67x+3237\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
19200.p4 19200.p \( 2^{8} \cdot 3 \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 17, -413]$ \(y^2=x^3-x^2+17x-413\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
19200.bc4 19200.bc \( 2^{8} \cdot 3 \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 17, 413]$ \(y^2=x^3+x^2+17x+413\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
19200.bm4 19200.bm \( 2^{8} \cdot 3 \cdot 5^{2} \) $1$ $\Z/2\Z$ $5.112040647$ $[0, 1, 0, 67, -3237]$ \(y^2=x^3+x^2+67x-3237\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
37632.d4 37632.d \( 2^{8} \cdot 3 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 131, -8987]$ \(y^2=x^3-x^2+131x-8987\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
37632.w4 37632.w \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $2.477632294$ $[0, -1, 0, 33, 1107]$ \(y^2=x^3-x^2+33x+1107\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
37632.bd4 37632.bd \( 2^{8} \cdot 3 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 131, 8987]$ \(y^2=x^3+x^2+131x+8987\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
37632.bw4 37632.bw \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/2\Z$ $5.521662637$ $[0, 1, 0, 33, -1107]$ \(y^2=x^3+x^2+33x-1107\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
57600.z4 57600.z \( 2^{8} \cdot 3^{2} \cdot 5^{2} \) $2$ $\Z/2\Z$ $6.276333712$ $[0, 0, 0, 600, -88000]$ \(y^2=x^3+600x-88000\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
57600.ba4 57600.ba \( 2^{8} \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 150, -11000]$ \(y^2=x^3+150x-11000\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
57600.cr4 57600.cr \( 2^{8} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $2.647050555$ $[0, 0, 0, 600, 88000]$ \(y^2=x^3+600x+88000\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
57600.cs4 57600.cs \( 2^{8} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $2.133160694$ $[0, 0, 0, 150, 11000]$ \(y^2=x^3+150x+11000\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
92928.c4 92928.c \( 2^{8} \cdot 3 \cdot 11^{2} \) $2$ $\Z/2\Z$ $3.414148798$ $[0, -1, 0, 81, -4365]$ \(y^2=x^3-x^2+81x-4365\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
92928.n4 92928.n \( 2^{8} \cdot 3 \cdot 11^{2} \) $1$ $\Z/2\Z$ $2.403554002$ $[0, -1, 0, 323, 34597]$ \(y^2=x^3-x^2+323x+34597\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
92928.u4 92928.u \( 2^{8} \cdot 3 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 81, 4365]$ \(y^2=x^3+x^2+81x+4365\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
92928.bb4 92928.bb \( 2^{8} \cdot 3 \cdot 11^{2} \) $1$ $\Z/2\Z$ $4.961911600$ $[0, 1, 0, 323, -34597]$ \(y^2=x^3+x^2+323x-34597\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
112896.u4 112896.u \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.904785470$ $[0, 0, 0, 294, 30184]$ \(y^2=x^3+294x+30184\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
112896.v4 112896.v \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 294, -30184]$ \(y^2=x^3+294x-30184\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
112896.dj4 112896.dj \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 1176, -241472]$ \(y^2=x^3+1176x-241472\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
112896.dk4 112896.dk \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.724726127$ $[0, 0, 0, 1176, 241472]$ \(y^2=x^3+1176x+241472\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
129792.c4 129792.c \( 2^{8} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 451, -57435]$ \(y^2=x^3-x^2+451x-57435\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
129792.f4 129792.f \( 2^{8} \cdot 3 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.897103078$ $[0, -1, 0, 113, 7123]$ \(y^2=x^3-x^2+113x+7123\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
129792.i4 129792.i \( 2^{8} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 451, 57435]$ \(y^2=x^3+x^2+451x+57435\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
129792.p4 129792.p \( 2^{8} \cdot 3 \cdot 13^{2} \) $1$ $\Z/2\Z$ $10.47056771$ $[0, 1, 0, 113, -7123]$ \(y^2=x^3+x^2+113x-7123\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
221952.d4 221952.d \( 2^{8} \cdot 3 \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.560363861$ $[0, -1, 0, 771, 127845]$ \(y^2=x^3-x^2+771x+127845\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
221952.q4 221952.q \( 2^{8} \cdot 3 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 193, -16077]$ \(y^2=x^3-x^2+193x-16077\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
221952.z4 221952.z \( 2^{8} \cdot 3 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.720020834$ $[0, 1, 0, 771, -127845]$ \(y^2=x^3+x^2+771x-127845\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
221952.bi4 221952.bi \( 2^{8} \cdot 3 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 193, 16077]$ \(y^2=x^3+x^2+193x+16077\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
277248.b4 277248.b \( 2^{8} \cdot 3 \cdot 19^{2} \) $1$ $\Z/2\Z$ $1.694522036$ $[0, -1, 0, 241, 22275]$ \(y^2=x^3-x^2+241x+22275\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
277248.g4 277248.g \( 2^{8} \cdot 3 \cdot 19^{2} \) $2$ $\Z/2\Z$ $11.37166029$ $[0, -1, 0, 963, -179163]$ \(y^2=x^3-x^2+963x-179163\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
277248.j4 277248.j \( 2^{8} \cdot 3 \cdot 19^{2} \) $1$ $\Z/2\Z$ $5.242896105$ $[0, 1, 0, 241, -22275]$ \(y^2=x^3+x^2+241x-22275\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
277248.o4 277248.o \( 2^{8} \cdot 3 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 963, 179163]$ \(y^2=x^3+x^2+963x+179163\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
278784.h4 278784.h \( 2^{8} \cdot 3^{2} \cdot 11^{2} \) $1$ $\Z/2\Z$ $1.608366115$ $[0, 0, 0, 2904, 937024]$ \(y^2=x^3+2904x+937024\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
278784.r4 278784.r \( 2^{8} \cdot 3^{2} \cdot 11^{2} \) $2$ $\Z/2\Z$ $6.549215543$ $[0, 0, 0, 2904, -937024]$ \(y^2=x^3+2904x-937024\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
278784.bi4 278784.bi \( 2^{8} \cdot 3^{2} \cdot 11^{2} \) $1$ $\Z/2\Z$ $1.790471364$ $[0, 0, 0, 726, 117128]$ \(y^2=x^3+726x+117128\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
278784.bs4 278784.bs \( 2^{8} \cdot 3^{2} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 726, -117128]$ \(y^2=x^3+726x-117128\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
389376.h4 389376.h \( 2^{8} \cdot 3^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 1014, -193336]$ \(y^2=x^3+1014x-193336\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
389376.q4 389376.q \( 2^{8} \cdot 3^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $3.865642997$ $[0, 0, 0, 1014, 193336]$ \(y^2=x^3+1014x+193336\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
389376.bn4 389376.bn \( 2^{8} \cdot 3^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 4056, -1546688]$ \(y^2=x^3+4056x-1546688\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
389376.bw4 389376.bw \( 2^{8} \cdot 3^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $6.917906193$ $[0, 0, 0, 4056, 1546688]$ \(y^2=x^3+4056x+1546688\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
406272.g4 406272.g \( 2^{8} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $6.334110511$ $[0, -1, 0, 1411, 316773]$ \(y^2=x^3-x^2+1411x+316773\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
406272.p4 406272.p \( 2^{8} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $16.66356988$ $[0, -1, 0, 353, -39773]$ \(y^2=x^3-x^2+353x-39773\) 2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$
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