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.n1	1122n1	1122.n	1122n	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3 \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$384$	$0.044368$	$832972004929/610368$	$1.08401$	$3.90841$	$[1, 0, 0, -196, -1072]$	\(y^2+xy=x^3-196x-1072\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
3366.a1	3366g1	3366.a	3366g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$0.536542113$	$1$		$11$	$3072$	$0.593674$	$832972004929/610368$	$1.08401$	$4.19135$	$[1, -1, 0, -1764, 28944]$	\(y^2+xy=x^3-x^2-1764x+28944\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(16, 60)]$
8976.s1	8976q1	8976.s	8976q	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{18} \cdot 3 \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.737515$	$832972004929/610368$	$1.08401$	$3.92934$	$[0, -1, 0, -3136, 68608]$	\(y^2=x^3-x^2-3136x+68608\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
12342.s1	12342r1	12342.s	12342r	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{6} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$46080$	$1.243315$	$832972004929/610368$	$1.08401$	$4.44079$	$[1, 0, 1, -23719, 1403114]$	\(y^2+xy+y=x^3-23719x+1403114\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
19074.l1	19074r1	19074.l	19074r	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{6} \cdot 3 \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.460974$	$832972004929/610368$	$1.08401$	$4.50966$	$[1, 1, 1, -56650, -5210089]$	\(y^2+xy+y=x^3+x^2-56650x-5210089\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
26928.e1	26928ca1	26928.e	26928ca	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{18} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1.418319087$	$1$		$7$	$73728$	$1.286821$	$832972004929/610368$	$1.08401$	$4.15234$	$[0, 0, 0, -28227, -1824190]$	\(y^2=x^3-28227x-1824190\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-97, 34)]$
28050.r1	28050m1	28050.r	28050m	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$3.386000681$	$1$		$3$	$30720$	$0.849087$	$832972004929/610368$	$1.08401$	$3.62291$	$[1, 1, 0, -4900, -134000]$	\(y^2+xy=x^3+x^2-4900x-134000\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(81, 53)]$
35904.a1	35904g1	35904.a	35904g	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{24} \cdot 3 \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$2.431176754$	$1$		$5$	$73728$	$1.084089$	$832972004929/610368$	$1.08401$	$3.80650$	$[0, -1, 0, -12545, -536319]$	\(y^2=x^3-x^2-12545x-536319\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-65, 16)]$
35904.bs1	35904cy1	35904.bs	35904cy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{24} \cdot 3 \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$73728$	$1.084089$	$832972004929/610368$	$1.08401$	$3.80650$	$[0, 1, 0, -12545, 536319]$	\(y^2=x^3+x^2-12545x+536319\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
37026.v1	37026be1	37026.v	37026be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{6} \cdot 3^{7} \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.792622$	$832972004929/610368$	$1.08401$	$4.60363$	$[1, -1, 1, -213467, -37884085]$	\(y^2+xy+y=x^3-x^2-213467x-37884085\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
54978.bi1	54978bv1	54978.bi	54978bv	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$0.822890787$	$1$		$7$	$138240$	$1.017323$	$832972004929/610368$	$1.08401$	$3.58450$	$[1, 1, 1, -9605, 358091]$	\(y^2+xy+y=x^3+x^2-9605x+358091\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(59, 4)]$
57222.bd1	57222x1	57222.bd	57222x	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$2.174102917$	$1$		$3$	$884736$	$2.010281$	$832972004929/610368$	$1.08401$	$4.65912$	$[1, -1, 0, -509850, 140162548]$	\(y^2+xy=x^3-x^2-509850x+140162548\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-21, 12293)]$
84150.ge1	84150et1	84150.ge	84150et	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$0.629741778$	$1$		$9$	$245760$	$1.398394$	$832972004929/610368$	$1.08401$	$3.85319$	$[1, -1, 1, -44105, 3573897]$	\(y^2+xy+y=x^3-x^2-44105x+3573897\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(113, 96)]$
98736.ce1	98736cu1	98736.ce	98736cu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{18} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$1105920$	$1.936462$	$832972004929/610368$	$1.08401$	$4.36109$	$[0, -1, 0, -379496, -89799312]$	\(y^2=x^3-x^2-379496x-89799312\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
107712.ey1	107712cr1	107712.ey	107712cr	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{24} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.633394$	$832972004929/610368$	$1.08401$	$4.01447$	$[0, 0, 0, -112908, 14593520]$	\(y^2=x^3-112908x+14593520\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
107712.fa1	107712ed1	107712.fa	107712ed	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{24} \cdot 3^{7} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$589824$	$1.633394$	$832972004929/610368$	$1.08401$	$4.01447$	$[0, 0, 0, -112908, -14593520]$	\(y^2=x^3-112908x-14593520\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
152592.bp1	152592a1	152592.bp	152592a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{18} \cdot 3 \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$2654208$	$2.154121$	$832972004929/610368$	$1.08401$	$4.42086$	$[0, 1, 0, -906400, 331632884]$	\(y^2=x^3+x^2-906400x+331632884\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
164934.bu1	164934dv1	164934.bu	164934dv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{6} \cdot 3^{7} \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$3.477305509$	$1$		$1$	$1105920$	$1.566629$	$832972004929/610368$	$1.08401$	$3.80540$	$[1, -1, 0, -86445, -9754907]$	\(y^2+xy=x^3-x^2-86445x-9754907\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(3011/2, 146929/2)]$
189618.m1	189618w1	189618.m	189618w	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$903168$	$1.326843$	$832972004929/610368$	$1.08401$	$3.52496$	$[1, 0, 1, -33128, -2322058]$	\(y^2+xy+y=x^3-33128x-2322058\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
209814.a1	209814ci1	209814.a	209814ci	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{6} \cdot 3 \cdot 11^{7} \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$7.112710587$	$1$		$15$	$13271040$	$2.659924$	$832972004929/610368$	$1.08401$	$4.80129$	$[1, 1, 0, -6854652, 6900354960]$	\(y^2+xy=x^3+x^2-6854652x+6900354960\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(1463, 1725), (6376, 468460)]$
224400.fl1	224400bt1	224400.fl	224400bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$6.308921752$	$1$		$9$	$737280$	$1.542234$	$832972004929/610368$	$1.08401$	$3.68655$	$[0, 1, 0, -78408, 8419188]$	\(y^2=x^3+x^2-78408x+8419188\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-292, 2550), (167, 102)]$
296208.d1	296208d1	296208.d	296208d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{18} \cdot 3^{7} \cdot 11^{7} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1.221039674$	$1$		$23$	$8847360$	$2.485767$	$832972004929/610368$	$1.08401$	$4.50400$	$[0, 0, 0, -3415467, 2427996890]$	\(y^2=x^3-3415467x+2427996890\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(1111, 2178), (319, 37026)]$
308550.fu1	308550fu1	308550.fu	308550fu	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1.075361700$	$1$		$5$	$3686400$	$2.048035$	$832972004929/610368$	$1.08401$	$4.07387$	$[1, 1, 1, -592963, 175389281]$	\(y^2+xy+y=x^3+x^2-592963x+175389281\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(39, 12322)]$
394944.f1	394944f1	394944.f	394944f	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{24} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$3.105606024$	$1$		$3$	$8847360$	$2.283035$	$832972004929/610368$	$1.08401$	$4.21467$	$[0, -1, 0, -1517985, 719912481]$	\(y^2=x^3-x^2-1517985x+719912481\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-1351, 17408)]$
394944.ev1	394944ev1	394944.ev	394944ev	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{24} \cdot 3 \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$5.607088049$	$1$		$1$	$8847360$	$2.283035$	$832972004929/610368$	$1.08401$	$4.21467$	$[0, 1, 0, -1517985, -719912481]$	\(y^2=x^3+x^2-1517985x-719912481\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-6371/3, 17612/3)]$
405042.bb1	405042bb1	405042.bb	405042bb	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \)	\( 2^{6} \cdot 3 \cdot 11 \cdot 17^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$4.539358166$	$1$		$3$	$2764800$	$1.516588$	$832972004929/610368$	$1.08401$	$3.49410$	$[1, 1, 0, -70763, 7211325]$	\(y^2+xy=x^3+x^2-70763x+7211325\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(-50, 3285)]$
439824.dc1	439824dc1	439824.dc	439824dc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{18} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$8.212654100$	$1$		$1$	$3317760$	$1.710470$	$832972004929/610368$	$1.08401$	$3.65099$	$[0, 1, 0, -153680, -23225196]$	\(y^2=x^3+x^2-153680x-23225196\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(11577/4, 1001589/4)]$
457776.fw1	457776fw1	457776.fw	457776fw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{18} \cdot 3^{7} \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$16.32021703$	$1$		$1$	$21233664$	$2.703426$	$832972004929/610368$	$1.08401$	$4.55396$	$[0, 0, 0, -8157603, -8962245470]$	\(y^2=x^3-8157603x-8962245470\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(512779721/260, 10627686990981/260)]$
476850.do1	476850do1	476850.do	476850do	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$8847360$	$2.265694$	$832972004929/610368$	$1.08401$	$4.13800$	$[1, 0, 1, -1416251, -648428602]$	\(y^2+xy+y=x^3-1416251x-648428602\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$

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