Elliptic curve search results

Results (15 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
6630.v8	6630w5	6630.v	6630w	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.6, 3.8.0.1	2B, 3B.1.1	$5304$	$384$	$5$	$5.068018879$	$1$		$6$	$1105920$	$3.224892$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.96527$	$[1, 0, 0, 14880814, -23572439484]$	\(y^2+xy=x^3+14880814x-23572439484\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.5, $\ldots$	$[(8710, 871336)]$
19890.n8	19890r5	19890.n	19890r	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{30} \cdot 5^{8} \cdot 13 \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$5304$	$384$	$5$	$1$	$1$		$0$	$8847360$	$3.774197$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.85813$	$[1, -1, 0, 133927326, 636455866068]$	\(y^2+xy=x^3-x^2+133927326x+636455866068\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
33150.l8	33150b4	33150.l	33150b	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{24} \cdot 5^{14} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$43.90009559$	$1$		$0$	$26542080$	$4.029610$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.81602$	$[1, 1, 0, 372020350, -2946554935500]$	\(y^2+xy=x^3+x^2+372020350x-2946554935500\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(913961007119818348905/203381051, 33622233830847682826173579348860/203381051)]$
53040.s8	53040bp4	53040.s	53040bp	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{24} \cdot 5^{8} \cdot 13 \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$16$	$2$	$1$	$26542080$	$3.918037$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.39847$	$[0, -1, 0, 238093024, 1508636126976]$	\(y^2=x^3-x^2+238093024x+1508636126976\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
86190.bm8	86190bm4	86190.bm	86190bm	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 13^{7} \cdot 17^{3} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$1$		$2$	$185794560$	$4.507362$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.74741$	$[1, 0, 1, 2514857562, -51791164403912]$	\(y^2+xy+y=x^3+2514857562x-51791164403912\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$	$[]$
99450.dq8	99450cr4	99450.dq	99450cr	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{30} \cdot 5^{14} \cdot 13 \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$1$	$4$	$2$	$0$	$212336640$	$4.578918$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.73811$	$[1, -1, 1, 3348183145, 79560331441647]$	\(y^2+xy+y=x^3-x^2+3348183145x+79560331441647\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
112710.cj8	112710cj4	112710.cj	112710cj	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 13 \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$4$	$2$	$0$	$318504960$	$4.641495$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.73017$	$[1, 1, 1, 4300555240, -115815695740135]$	\(y^2+xy+y=x^3+x^2+4300555240x-115815695740135\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$	$[]$
159120.ek8	159120z4	159120.ek	159120z	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{30} \cdot 5^{8} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$44.45249262$	$1$		$1$	$212336640$	$4.467346$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.36192$	$[0, 0, 0, 2142837213, -40735318265566]$	\(y^2=x^3+2142837213x-40735318265566\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$	$[(13428994831316064799/26866035, 45778349518982890049818449782/26866035)]$
212160.cc8	212160gf4	212160.cc	212160gf	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{24} \cdot 5^{8} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$11.72272093$	$1$		$1$	$212336640$	$4.264610$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.01435$	$[0, -1, 0, 952372095, -12070041387903]$	\(y^2=x^3-x^2+952372095x-12070041387903\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$	$[(18324739/31, 107508637500/31)]$
212160.hq8	212160z5	212160.hq	212160z	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{24} \cdot 5^{8} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$0.990939159$	$1$		$5$	$212336640$	$4.264610$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.01435$	$[0, 1, 0, 952372095, 12070041387903]$	\(y^2=x^3+x^2+952372095x+12070041387903\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$	$[(107871, 37013760)]$
258570.ef8	258570ef5	258570.ef	258570ef	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{30} \cdot 5^{8} \cdot 13^{7} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$29.94908235$	$1$		$0$	$1486356480$	$5.056671$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.68152$	$[1, -1, 1, 22633718062, 1398361438905617]$	\(y^2+xy+y=x^3-x^2+22633718062x+1398361438905617\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$	$[(7873538529700453/71659, 701849886670508424153397/71659)]$
265200.dz8	265200dz5	265200.dz	265200dz	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{24} \cdot 5^{14} \cdot 13 \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$12.05270626$	$1$		$3$	$637009920$	$4.722755$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.34712$	$[0, 1, 0, 5952325592, 188591420523188]$	\(y^2=x^3+x^2+5952325592x+188591420523188\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[(2528804, 4023253494)]$
324870.el8	324870el5	324870.el	324870el	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 7^{6} \cdot 13 \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$37128$	$384$	$5$	$1$	$4$	$2$	$0$	$318504960$	$4.197845$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$5.74930$	$[1, 1, 1, 729159885, 8086075902897]$	\(y^2+xy+y=x^3+x^2+729159885x+8086075902897\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
338130.y8	338130y5	338130.y	338130y	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{30} \cdot 5^{8} \cdot 13 \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$100.9727475$	$1$		$0$	$2548039680$	$5.190804$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.66716$	$[1, -1, 0, 38704997160, 3127062489980800]$	\(y^2+xy=x^3-x^2+38704997160x+3127062489980800\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$	$[(302941396769030016126299011773409435467952285/81713381741606008212, 38477114782516958104079766317453232334167694773154370579937571180915/81713381741606008212)]$
430950.ep8	430950ep4	430950.ep	430950ep	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{24} \cdot 5^{14} \cdot 13^{7} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$1$	$16$	$2$	$0$	$4459069440$	$5.312088$	$364421318680576777174674911/450962301637624725000000$	$1.03492$	$6.65469$	$[1, 1, 1, 62871439062, -6473895550488969]$	\(y^2+xy+y=x^3+x^2+62871439062x-6473895550488969\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$