Elliptic curve search results

Results (29 matches)

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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
1122.l2	1122j1	1122.l	1122j	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$96$	$-0.404585$	$192100033/38148$	$0.83997$	$2.71592$	$[1, 0, 0, -12, 12]$	\(y^2+xy=x^3-12x+12\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
3366.c2	3366i1	3366.c	3366i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.729394383$	$1$		$9$	$768$	$0.144721$	$192100033/38148$	$0.83997$	$3.16016$	$[1, -1, 0, -108, -324]$	\(y^2+xy=x^3-x^2-108x-324\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-6, 12)]$
8976.r2	8976v1	8976.r	8976v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3 \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$2304$	$0.288562$	$192100033/38148$	$0.83997$	$3.00927$	$[0, -1, 0, -192, -768]$	\(y^2=x^3-x^2-192x-768\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
12342.q2	12342j1	12342.q	12342j	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.171578885$	$1$		$3$	$11520$	$0.794362$	$192100033/38148$	$0.83997$	$3.55182$	$[1, 0, 1, -1455, -17426]$	\(y^2+xy+y=x^3-1455x-17426\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-29, 38)]$
19074.p2	19074x1	19074.p	19074x	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.883836915$	$1$		$1$	$27648$	$1.012022$	$192100033/38148$	$0.83997$	$3.65995$	$[1, 1, 1, -3474, 62427]$	\(y^2+xy+y=x^3+x^2-3474x+62427\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(501/5, 3309/5)]$
26928.r2	26928bd1	26928.r	26928bd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.641715549$	$1$		$7$	$18432$	$0.837868$	$192100033/38148$	$0.83997$	$3.33136$	$[0, 0, 0, -1731, 22466]$	\(y^2=x^3-1731x+22466\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(1, 144)]$
28050.o2	28050d1	28050.o	28050d	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.044048825$	$1$		$7$	$12288$	$0.400134$	$192100033/38148$	$0.83997$	$2.80520$	$[1, 1, 0, -300, 1500]$	\(y^2+xy=x^3+x^2-300x+1500\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(5, 10)]$
35904.f2	35904v1	35904.f	35904v	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3 \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.184698283$	$1$		$5$	$18432$	$0.635136$	$192100033/38148$	$0.83997$	$3.00804$	$[0, -1, 0, -769, 6913]$	\(y^2=x^3-x^2-769x+6913\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(3, 68)]$
35904.cc2	35904cp1	35904.cc	35904cp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3 \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.635136$	$192100033/38148$	$0.83997$	$3.00804$	$[0, 1, 0, -769, -6913]$	\(y^2=x^3+x^2-769x-6913\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
37026.z2	37026bl1	37026.z	37026bl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{7} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.624794975$	$1$		$3$	$92160$	$1.343668$	$192100033/38148$	$0.83997$	$3.80750$	$[1, -1, 1, -13091, 470495]$	\(y^2+xy+y=x^3-x^2-13091x+470495\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-41, 988)]$
54978.bj2	54978bl1	54978.bj	54978bl	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.945015253$	$1$		$1$	$34560$	$0.568370$	$192100033/38148$	$0.83997$	$2.81721$	$[1, 1, 1, -589, -4705]$	\(y^2+xy+y=x^3+x^2-589x-4705\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-45/2, 245/2)]$
57222.y2	57222g1	57222.y	57222g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{7} \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.561327$	$192100033/38148$	$0.83997$	$3.89463$	$[1, -1, 0, -31266, -1716800]$	\(y^2+xy=x^3-x^2-31266x-1716800\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
84150.gi2	84150ga1	84150.gi	84150ga	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.096939088$	$1$		$3$	$98304$	$0.949440$	$192100033/38148$	$0.83997$	$3.11470$	$[1, -1, 1, -2705, -43203]$	\(y^2+xy+y=x^3-x^2-2705x-43203\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-37, 90)]$
98736.bv2	98736bw1	98736.bv	98736bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{14} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.256816018$	$1$		$3$	$276480$	$1.487509$	$192100033/38148$	$0.83997$	$3.63286$	$[0, -1, 0, -23272, 1115248]$	\(y^2=x^3-x^2-23272x+1115248\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(26, 726)]$
107712.dn2	107712x1	107712.dn	107712x	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.936232504$	$1$		$13$	$147456$	$1.184443$	$192100033/38148$	$0.83997$	$3.29172$	$[0, 0, 0, -6924, -179728]$	\(y^2=x^3-6924x-179728\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-59, 153), (286, 4608)]$
107712.eb2	107712ek1	107712.eb	107712ek	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$147456$	$1.184443$	$192100033/38148$	$0.83997$	$3.29172$	$[0, 0, 0, -6924, 179728]$	\(y^2=x^3-6924x+179728\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
152592.bu2	152592f1	152592.bu	152592f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3 \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.849816093$	$1$		$1$	$663552$	$1.705168$	$192100033/38148$	$0.83997$	$3.71920$	$[0, 1, 0, -55584, -4106508]$	\(y^2=x^3+x^2-55584x-4106508\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(6857/4, 456909/4)]$
164934.bl2	164934dj1	164934.bl	164934dj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{7} \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.988624258$	$1$		$7$	$276480$	$1.117676$	$192100033/38148$	$0.83997$	$3.10828$	$[1, -1, 0, -5301, 121729]$	\(y^2+xy=x^3-x^2-5301x+121729\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(20, 143)]$
189618.o2	189618y1	189618.o	189618y	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( 2^{2} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$207360$	$0.877890$	$192100033/38148$	$0.83997$	$2.83583$	$[1, 0, 1, -2032, 28394]$	\(y^2+xy+y=x^3-2032x+28394\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
209814.d2	209814cl1	209814.d	209814cl	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3 \cdot 11^{7} \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.107833180$	$1$		$11$	$3317760$	$2.210968$	$192100033/38148$	$0.83997$	$4.11786$	$[1, 1, 0, -420356, -85192356]$	\(y^2+xy=x^3+x^2-420356x-85192356\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(919, 17025), (-11994/5, 344706/5)]$
224400.fm2	224400bo1	224400.fm	224400bo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.093281$	$192100033/38148$	$0.83997$	$3.00685$	$[0, 1, 0, -4808, -105612]$	\(y^2=x^3+x^2-4808x-105612\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
296208.bb2	296208bb1	296208.bb	296208bb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{14} \cdot 3^{7} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.451118656$	$1$		$7$	$2211840$	$2.036816$	$192100033/38148$	$0.83997$	$3.83928$	$[0, 0, 0, -209451, -29902246]$	\(y^2=x^3-209451x-29902246\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-299, 2448)]$
308550.fy2	308550fy1	308550.fy	308550fy	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.599081$	$192100033/38148$	$0.83997$	$3.41129$	$[1, 1, 1, -36363, -2178219]$	\(y^2+xy+y=x^3+x^2-36363x-2178219\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
394944.bc2	394944bc1	394944.bc	394944bc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{20} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.834084$	$192100033/38148$	$0.83997$	$3.56478$	$[0, -1, 0, -93089, -8828895]$	\(y^2=x^3-x^2-93089x-8828895\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
394944.fk2	394944fk1	394944.fk	394944fk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{20} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.834084$	$192100033/38148$	$0.83997$	$3.56478$	$[0, 1, 0, -93089, 8828895]$	\(y^2=x^3+x^2-93089x+8828895\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
405042.y2	405042y1	405042.y	405042y	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \)	\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.599106479$	$1$		$3$	$684288$	$1.067635$	$192100033/38148$	$0.83997$	$2.84548$	$[1, 1, 0, -4339, -90983]$	\(y^2+xy=x^3+x^2-4339x-90983\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-24, 5)]$
439824.dv2	439824dv1	439824.dv	439824dv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.604466118$	$1$		$3$	$829440$	$1.261517$	$192100033/38148$	$0.83997$	$3.00649$	$[0, 1, 0, -9424, 282260]$	\(y^2=x^3+x^2-9424x+282260\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(34, 48)]$
457776.er2	457776er1	457776.er	457776er	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{7} \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$5308416$	$2.254475$	$192100033/38148$	$0.83997$	$3.91144$	$[0, 0, 0, -500259, 110375458]$	\(y^2=x^3-500259x+110375458\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
476850.ds2	476850ds1	476850.ds	476850ds	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.308084569$	$1$		$3$	$3538944$	$1.816740$	$192100033/38148$	$0.83997$	$3.49748$	$[1, 0, 1, -86851, 7977098]$	\(y^2+xy+y=x^3-86851x+7977098\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-108, 4066)]$

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