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.v7	6630w1	6630.v	6630w	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/12\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.7, 3.8.0.1	2B, 3B.1.1	$5304$	$384$	$5$	$1.267004719$	$1$		$31$	$276480$	$2.531742$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.28232$	$[1, 0, 0, -2096146, 1124611076]$	\(y^2+xy=x^3-2096146x+1124611076\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.1, 6.24.0-6.a.1.4, 12.96.0-12.c.1.8, $\ldots$	$[(676, 3742)]$
19890.n7	19890r1	19890.n	19890r	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$5304$	$384$	$5$	$1$	$1$		$1$	$2211840$	$3.081051$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.25099$	$[1, -1, 0, -18865314, -30364499052]$	\(y^2+xy=x^3-x^2-18865314x-30364499052\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.1.6, $\ldots$	$[]$
33150.l7	33150b1	33150.l	33150b	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{8} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$10.97502389$	$1$		$1$	$6635520$	$3.336464$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.23867$	$[1, 1, 0, -52403650, 140576384500]$	\(y^2+xy=x^3+x^2-52403650x+140576384500\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[(2329651/29, 3115988234/29)]$
53040.s7	53040bp1	53040.s	53040bp	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{36} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$1$		$1$	$6635520$	$3.224892$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$5.84607$	$[0, -1, 0, -33538336, -71975108864]$	\(y^2=x^3-x^2-33538336x-71975108864\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.4, $\ldots$	$[]$
86190.bm7	86190bm1	86190.bm	86190bm	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$1$		$1$	$46448640$	$3.814217$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.21860$	$[1, 0, 1, -354248678, 2471124782648]$	\(y^2+xy+y=x^3-354248678x+2471124782648\)	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, $\ldots$	$[]$
99450.dq7	99450cr1	99450.dq	99450cr	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{12} \cdot 5^{8} \cdot 13^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$1$	$1$		$1$	$53084160$	$3.885769$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.21588$	$[1, -1, 1, -471632855, -3796034014353]$	\(y^2+xy+y=x^3-x^2-471632855x-3796034014353\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[]$
112710.cj7	112710cj1	112710.cj	112710cj	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \cdot 17^{9} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$1$		$3$	$79626240$	$3.948349$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.21356$	$[1, 1, 1, -605786200, 5525820002585]$	\(y^2+xy+y=x^3+x^2-605786200x+5525820002585\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.1, 12.96.0-12.c.1.1, $\ldots$	$[]$
159120.ek7	159120z1	159120.ek	159120z	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{36} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$11.11312315$	$1$		$1$	$53084160$	$3.774197$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$5.86019$	$[0, 0, 0, -301845027, 1943629784354]$	\(y^2=x^3-301845027x+1943629784354\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.1.2, $\ldots$	$[(2414695/17, 344328894/17)]$
212160.cc7	212160gf1	212160.cc	212160gf	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{42} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$2.930680234$	$1$		$3$	$53084160$	$3.571465$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$5.52438$	$[0, -1, 0, -134153345, 575935024257]$	\(y^2=x^3-x^2-134153345x+575935024257\)	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.1.4, $\ldots$	$[(3488, 387855)]$
212160.hq7	212160z1	212160.hq	212160z	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{42} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$3.963756636$	$1$		$1$	$53084160$	$3.571465$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$5.52438$	$[0, 1, 0, -134153345, -575935024257]$	\(y^2=x^3+x^2-134153345x-575935024257\)	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.1.3, $\ldots$	$[(-22571/2, 301665/2)]$
258570.ef7	258570ef1	258570.ef	258570ef	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{24} \cdot 3^{12} \cdot 5^{2} \cdot 13^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$7.487270588$	$1$		$3$	$371589120$	$4.363525$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.19933$	$[1, -1, 1, -3188238098, -66720369131503]$	\(y^2+xy+y=x^3-x^2-3188238098x-66720369131503\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[(1536753, 1902976063)]$
265200.dz7	265200dz1	265200.dz	265200dz	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{36} \cdot 3^{6} \cdot 5^{8} \cdot 13^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$12.05270626$	$1$		$1$	$159252480$	$4.029610$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$5.86591$	$[0, 1, 0, -838458408, -8998565524812]$	\(y^2=x^3+x^2-838458408x-8998565524812\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[(106907358/13, 1104202039296/13)]$
324870.el7	324870el1	324870.el	324870el	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$37128$	$384$	$5$	$1$	$1$		$1$	$79626240$	$3.504700$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$5.27578$	$[1, 1, 1, -102711155, -385844310223]$	\(y^2+xy+y=x^3+x^2-102711155x-385844310223\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[]$
338130.y7	338130y1	338130.y	338130y	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{24} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$25.24318688$	$1$		$1$	$637009920$	$4.497658$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.19513$	$[1, -1, 0, -5452075800, -149202592145600]$	\(y^2+xy=x^3-x^2-5452075800x-149202592145600\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.3, 12.96.0-12.c.1.3, $\ldots$	$[(3205022105045/4892, 4560478220215282585/4892)]$
430950.ep7	430950ep1	430950.ep	430950ep	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{24} \cdot 3^{6} \cdot 5^{8} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$1$	$1$		$1$	$1114767360$	$4.618935$	$1018563973439611524445729/42904970360310988800$	$1.05435$	$6.19148$	$[1, 1, 1, -8856216938, 308890597831031]$	\(y^2+xy+y=x^3+x^2-8856216938x+308890597831031\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$	$[]$