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
7410.l1	7410l4	7410.l	7410l	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$9880$	$48$	$0$	$0.601032300$	$1$		$6$	$73728$	$1.934153$	$68870385718115337310681/39076171875000$	$1.03544$	$5.90158$	$[1, 0, 1, -853958, 303669056]$	\(y^2+xy+y=x^3-853958x+303669056\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 76.12.0.?, 104.12.0.?, $\ldots$	$[(540, -8)]$
22230.ba1	22230bg4	22230.ba	22230bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{12} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$7.113714693$	$4$	$2$	$2$	$589824$	$2.483459$	$68870385718115337310681/39076171875000$	$1.03544$	$5.91238$	$[1, -1, 1, -7685618, -8199064519]$	\(y^2+xy+y=x^3-x^2-7685618x-8199064519\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 228.12.0.?, 312.12.0.?, $\ldots$	$[(4251, 187441)]$
37050.bq1	37050bq4	37050.bq	37050bq	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{18} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$9880$	$48$	$0$	$4.703188687$	$1$		$2$	$1769472$	$2.738873$	$68870385718115337310681/39076171875000$	$1.03544$	$5.91664$	$[1, 1, 1, -21348938, 37958632031]$	\(y^2+xy+y=x^3+x^2-21348938x+37958632031\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 380.12.0.?, 520.24.0.?, $\ldots$	$[(2671, -1027)]$
59280.s1	59280bi4	59280.s	59280bi	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$1$	$1$		$1$	$1769472$	$2.627300$	$68870385718115337310681/39076171875000$	$1.03544$	$5.54178$	$[0, -1, 0, -13663320, -19434819600]$	\(y^2=x^3-x^2-13663320x-19434819600\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 76.12.0.?, 104.12.0.?, $\ldots$	$[]$
96330.cz1	96330da4	96330.cz	96330da	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{12} \cdot 13^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$9880$	$48$	$0$	$1$	$4$	$2$	$0$	$12386304$	$3.216629$	$68870385718115337310681/39076171875000$	$1.03544$	$5.92358$	$[1, 0, 0, -144318821, 667305235401]$	\(y^2+xy=x^3-144318821x+667305235401\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 520.24.0.?, 760.24.0.?, $\ldots$	$[]$
111150.bs1	111150bi4	111150.bs	111150bi	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{18} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$17.71463337$	$4$	$2$	$0$	$14155776$	$3.288177$	$68870385718115337310681/39076171875000$	$1.03544$	$5.92452$	$[1, -1, 0, -192140442, -1025075205284]$	\(y^2+xy=x^3-x^2-192140442x-1025075205284\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 520.12.0.?, 760.12.0.?, $\ldots$	$[(114266099/65, 1007562054013/65)]$
140790.bw1	140790y4	140790.bw	140790y	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 19^{2} \)	\( 2^{3} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$9880$	$48$	$0$	$7.926546245$	$1$		$0$	$26542080$	$3.406372$	$68870385718115337310681/39076171875000$	$1.03544$	$5.92602$	$[1, 1, 1, -308278665, -2083482614145]$	\(y^2+xy+y=x^3+x^2-308278665x-2083482614145\)	2.3.0.a.1, 4.12.0-4.c.1.2, 520.24.0.?, 760.24.0.?, 1976.24.0.?, $\ldots$	$[(161927/2, 57404319/2)]$
177840.z1	177840bk3	177840.z	177840bk	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19 \)	\( 2^{15} \cdot 3^{10} \cdot 5^{12} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1$	$4$	$2$	$1$	$14155776$	$3.176605$	$68870385718115337310681/39076171875000$	$1.03544$	$5.58342$	$[0, 0, 0, -122969883, 524863099082]$	\(y^2=x^3-122969883x+524863099082\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 228.12.0.?, 312.12.0.?, $\ldots$	$[]$
237120.bh1	237120bh3	237120.bh	237120bh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( 2^{21} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$17.16381554$	$1$		$1$	$14155776$	$2.973873$	$68870385718115337310681/39076171875000$	$1.03544$	$5.25707$	$[0, -1, 0, -54653281, 155533210081]$	\(y^2=x^3-x^2-54653281x+155533210081\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 52.12.0-4.c.1.2, 152.12.0.?, $\ldots$	$[(172450235/187, 503098818012/187)]$
237120.eb1	237120eb4	237120.eb	237120eb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( 2^{21} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$1$	$4$	$2$	$1$	$14155776$	$2.973873$	$68870385718115337310681/39076171875000$	$1.03544$	$5.25707$	$[0, 1, 0, -54653281, -155533210081]$	\(y^2=x^3+x^2-54653281x-155533210081\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 52.12.0-4.c.1.1, 152.12.0.?, $\ldots$	$[]$
288990.cx1	288990cx4	288990.cx	288990cx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 19 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{12} \cdot 13^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1$	$4$	$2$	$0$	$99090432$	$3.765934$	$68870385718115337310681/39076171875000$	$1.03544$	$5.93025$	$[1, -1, 0, -1298869389, -18017241355827]$	\(y^2+xy=x^3-x^2-1298869389x-18017241355827\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 520.12.0.?, 760.12.0.?, $\ldots$	$[]$
296400.gg1	296400gg4	296400.gg	296400gg	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{18} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$9880$	$48$	$0$	$10.54033809$	$4$	$2$	$1$	$42467328$	$3.432018$	$68870385718115337310681/39076171875000$	$1.03544$	$5.60031$	$[0, 1, 0, -341583008, -2430035616012]$	\(y^2=x^3+x^2-341583008x-2430035616012\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 380.12.0.?, 520.24.0.?, $\ldots$	$[(-1291476/11, 1329846/11)]$
363090.e1	363090e4	363090.e	363090e	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{12} \cdot 7^{6} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$69160$	$48$	$0$	$1$	$4$	$2$	$0$	$28311552$	$2.907108$	$68870385718115337310681/39076171875000$	$1.03544$	$5.01952$	$[1, 1, 0, -41843918, -104200330212]$	\(y^2+xy=x^3+x^2-41843918x-104200330212\)	2.3.0.a.1, 4.6.0.c.1, 280.12.0.?, 520.12.0.?, 532.12.0.?, $\ldots$	$[]$
422370.x1	422370x3	422370.x	422370x	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \)	\( 2^{3} \cdot 3^{10} \cdot 5^{12} \cdot 13 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1$	$16$	$2$	$0$	$212336640$	$3.955677$	$68870385718115337310681/39076171875000$	$1.03544$	$5.93230$	$[1, -1, 0, -2774507985, 56251256073925]$	\(y^2+xy=x^3-x^2-2774507985x+56251256073925\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 520.12.0.?, 760.12.0.?, $\ldots$	$[]$
481650.bb1	481650bb3	481650.bb	481650bb	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{18} \cdot 13^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$1$	$1$		$0$	$297271296$	$4.021347$	$68870385718115337310681/39076171875000$	$1.03544$	$5.93298$	$[1, 1, 0, -3607970525, 83413154425125]$	\(y^2+xy=x^3+x^2-3607970525x+83413154425125\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 104.12.0.?, 152.12.0.?, $\ldots$	$[]$