Elliptic curve search results

Results (28 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2275.a1	2275b1	2275.a	2275b	$1$	$1$	\( 5^{2} \cdot 7 \cdot 13 \)	\( 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.256010094$	$1$		$6$	$192$	$-0.483493$	$2560000/637$	$0.81958$	$2.32536$	$[0, 1, 1, -8, 4]$	\(y^2+y=x^3+x^2-8x+4\)	26.2.0.a.1	$[(-1, 3)]$
2275.g1	2275h1	2275.g	2275h	$1$	$1$	\( 5^{2} \cdot 7 \cdot 13 \)	\( 5^{8} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$960$	$0.321226$	$2560000/637$	$0.81958$	$3.57464$	$[0, -1, 1, -208, 943]$	\(y^2+y=x^3-x^2-208x+943\)	26.2.0.a.1	$[]$
15925.a1	15925r1	15925.a	15925r	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 13 \)	\( 5^{2} \cdot 7^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.913887105$	$1$		$4$	$9216$	$0.489462$	$2560000/637$	$0.81958$	$3.06438$	$[0, -1, 1, -408, -2262]$	\(y^2+y=x^3-x^2-408x-2262\)	26.2.0.a.1	$[(-9, 24)]$
15925.y1	15925w1	15925.y	15925w	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 13 \)	\( 5^{8} \cdot 7^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$3.870703171$	$1$		$0$	$46080$	$1.294182$	$2560000/637$	$0.81958$	$4.06241$	$[0, 1, 1, -10208, -303131]$	\(y^2+y=x^3+x^2-10208x-303131\)	26.2.0.a.1	$[(-139/2, 829/2)]$
20475.b1	20475bj1	20475.b	20475bj	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.538111121$	$1$		$4$	$28800$	$0.870532$	$2560000/637$	$0.81958$	$3.44745$	$[0, 0, 1, -1875, -23594]$	\(y^2+y=x^3-1875x-23594\)	26.2.0.a.1	$[(-25, 87)]$
20475.bi1	20475t1	20475.bi	20475t	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$5760$	$0.065813$	$2560000/637$	$0.81958$	$2.47468$	$[0, 0, 1, -75, -189]$	\(y^2+y=x^3-75x-189\)	26.2.0.a.1	$[]$
29575.b1	29575s1	29575.b	29575s	$1$	$1$	\( 5^{2} \cdot 7 \cdot 13^{2} \)	\( 5^{8} \cdot 7^{2} \cdot 13^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.317463059$	$1$		$22$	$161280$	$1.603701$	$2560000/637$	$0.81958$	$4.17893$	$[0, -1, 1, -35208, 1931568]$	\(y^2+y=x^3-x^2-35208x+1931568\)	26.2.0.a.1	$[(-108, 2112), (48, 591)]$
29575.w1	29575l1	29575.w	29575l	$1$	$1$	\( 5^{2} \cdot 7 \cdot 13^{2} \)	\( 5^{2} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$32256$	$0.798982$	$2560000/637$	$0.81958$	$3.24090$	$[0, 1, 1, -1408, 14889]$	\(y^2+y=x^3+x^2-1408x+14889\)	26.2.0.a.1	$[]$
36400.w1	36400bv1	36400.w	36400bv	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.299666734$	$1$		$2$	$7680$	$0.209654$	$2560000/637$	$0.81958$	$2.50346$	$[0, -1, 0, -133, -403]$	\(y^2=x^3-x^2-133x-403\)	26.2.0.a.1	$[(-4, 7)]$
36400.bw1	36400cl1	36400.bw	36400cl	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$38400$	$1.014374$	$2560000/637$	$0.81958$	$3.42294$	$[0, 1, 0, -3333, -57037]$	\(y^2=x^3+x^2-3333x-57037\)	26.2.0.a.1	$[]$
143325.b1	143325b1	143325.b	143325b	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 3^{6} \cdot 5^{8} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1382400$	$1.843487$	$2560000/637$	$0.81958$	$3.86580$	$[0, 0, 1, -91875, 8092656]$	\(y^2+y=x^3-91875x+8092656\)	26.2.0.a.1	$[]$
143325.fr1	143325fv1	143325.fr	143325fv	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.038769$	$2560000/637$	$0.81958$	$3.05247$	$[0, 0, 1, -3675, 64741]$	\(y^2+y=x^3-3675x+64741\)	26.2.0.a.1	$[]$
145600.cd1	145600fh1	145600.cd	145600fh	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.800319569$	$1$		$4$	$15360$	$-0.136919$	$2560000/637$	$0.81958$	$1.86172$	$[0, -1, 0, -33, 67]$	\(y^2=x^3-x^2-33x+67\)	26.2.0.a.1	$[(6, 7), (-2, 11)]$
145600.cs1	145600z1	145600.cs	145600z	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$0.931525193$	$1$		$2$	$76800$	$0.667800$	$2560000/637$	$0.81958$	$2.67398$	$[0, -1, 0, -833, -6713]$	\(y^2=x^3-x^2-833x-6713\)	26.2.0.a.1	$[(42, 175)]$
145600.fn1	145600gm1	145600.fn	145600gm	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.057369733$	$1$		$2$	$76800$	$0.667800$	$2560000/637$	$0.81958$	$2.67398$	$[0, 1, 0, -833, 6713]$	\(y^2=x^3+x^2-833x+6713\)	26.2.0.a.1	$[(8, 25)]$
145600.gc1	145600ct1	145600.gc	145600ct	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$15360$	$-0.136919$	$2560000/637$	$0.81958$	$1.86172$	$[0, 1, 0, -33, -67]$	\(y^2=x^3+x^2-33x-67\)	26.2.0.a.1	$[]$
207025.h1	207025h1	207025.h	207025h	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 5^{8} \cdot 7^{8} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$5.698455298$	$1$		$0$	$7741440$	$2.576656$	$2560000/637$	$0.81958$	$4.46842$	$[0, 1, 1, -1725208, -659077506]$	\(y^2+y=x^3+x^2-1725208x-659077506\)	26.2.0.a.1	$[(-10716/5, 169698/5)]$
207025.co1	207025cp1	207025.co	207025cp	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 5^{2} \cdot 7^{8} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1548288$	$1.771936$	$2560000/637$	$0.81958$	$3.67952$	$[0, -1, 1, -69008, -5245017]$	\(y^2+y=x^3-x^2-69008x-5245017\)	26.2.0.a.1	$[]$
254800.bt1	254800bt1	254800.bt	254800bt	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 5^{8} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1843200$	$1.987328$	$2560000/637$	$0.81958$	$3.82578$	$[0, -1, 0, -163333, 19237037]$	\(y^2=x^3-x^2-163333x+19237037\)	26.2.0.a.1	$[]$
254800.fa1	254800fa1	254800.fa	254800fa	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.182610$	$2560000/637$	$0.81958$	$3.05004$	$[0, 1, 0, -6533, 151283]$	\(y^2=x^3+x^2-6533x+151283\)	26.2.0.a.1	$[]$
266175.r1	266175r1	266175.r	266175r	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$2.518124823$	$1$		$0$	$967680$	$1.348288$	$2560000/637$	$0.81958$	$3.19853$	$[0, 0, 1, -12675, -414684]$	\(y^2+y=x^3-12675x-414684\)	26.2.0.a.1	$[(-351/2, 1179/2)]$
266175.em1	266175em1	266175.em	266175em	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$9.046822507$	$1$		$0$	$4838400$	$2.153008$	$2560000/637$	$0.81958$	$3.97156$	$[0, 0, 1, -316875, -51835469]$	\(y^2+y=x^3-316875x-51835469\)	26.2.0.a.1	$[(378001/24, 66060089/24)]$
275275.c1	275275c1	275275.c	275275c	$1$	$1$	\( 5^{2} \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 5^{8} \cdot 7^{2} \cdot 11^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1.631589161$	$1$		$4$	$1228800$	$1.520174$	$2560000/637$	$0.81958$	$3.35462$	$[0, -1, 1, -25208, -1154682]$	\(y^2+y=x^3-x^2-25208x-1154682\)	26.2.0.a.1	$[(-117, 423)]$
275275.ct1	275275ct1	275275.ct	275275ct	$1$	$1$	\( 5^{2} \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$245760$	$0.715455$	$2560000/637$	$0.81958$	$2.58367$	$[0, 1, 1, -1008, -9641]$	\(y^2+y=x^3+x^2-1008x-9641\)	26.2.0.a.1	$[]$
327600.ga1	327600ga1	327600.ga	327600ga	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$3.231628806$	$1$		$0$	$1152000$	$1.563679$	$2560000/637$	$0.81958$	$3.34976$	$[0, 0, 0, -30000, 1510000]$	\(y^2=x^3-30000x+1510000\)	26.2.0.a.1	$[(225/2, 175/2)]$
327600.mz1	327600mz1	327600.mz	327600mz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$230400$	$0.758961$	$2560000/637$	$0.81958$	$2.58937$	$[0, 0, 0, -1200, 12080]$	\(y^2=x^3-1200x+12080\)	26.2.0.a.1	$[]$
473200.cl1	473200cl1	473200.cl	473200cl	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 5^{2} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.492128$	$2560000/637$	$0.81958$	$3.18979$	$[0, -1, 0, -22533, -975443]$	\(y^2=x^3-x^2-22533x-975443\)	26.2.0.a.1	$[]$
473200.gk1	473200gk1	473200.gk	473200gk	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 5^{8} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$6451200$	$2.296848$	$2560000/637$	$0.81958$	$3.92878$	$[0, 1, 0, -563333, -123057037]$	\(y^2=x^3+x^2-563333x-123057037\)	26.2.0.a.1	$[]$