Elliptic curve search results

Results (20 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
7220.c2	7220g1	7220.c	7220g	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$3.980876966$	$1$		$5$	$18240$	$1.399172$	$-16384/25$	$0.82449$	$4.53230$	$1$	$[0, 1, 0, -9145, -645000]$	\(y^2=x^3+x^2-9145x-645000\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(125, 425)]$	$1$
7220.g2	7220f1	7220.g	7220f	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$2.582568793$	$1$		$1$	$960$	$-0.073047$	$-16384/25$	$0.82449$	$2.54384$	$1$	$[0, -1, 0, -25, 102]$	\(y^2=x^3-x^2-25x+102\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(21/2, 75/2)]$	$1$
28880.i2	28880be1	28880.i	28880be	$2$	$2$	\( 2^{4} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$4.292763346$	$1$		$1$	$3840$	$-0.073047$	$-16384/25$	$0.82449$	$2.20049$	$1$	$[0, 1, 0, -25, -102]$	\(y^2=x^3+x^2-25x-102\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(149/2, 1825/2)]$	$1$
28880.be2	28880bd1	28880.be	28880bd	$2$	$2$	\( 2^{4} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$16.74957860$	$1$		$1$	$72960$	$1.399172$	$-16384/25$	$0.82449$	$3.92056$	$1$	$[0, -1, 0, -9145, 645000]$	\(y^2=x^3-x^2-9145x+645000\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(41240445/142, 264496391175/142)]$	$1$
36100.b2	36100c1	36100.b	36100c	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{8} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.017526065$	$1$		$19$	$23040$	$0.731672$	$-16384/25$	$0.82449$	$3.07390$	$1$	$[0, 1, 0, -633, 11488]$	\(y^2=x^3+x^2-633x+11488\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(-7, 125), (13, 75)]$	$1$
36100.h2	36100b1	36100.h	36100b	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$16$	$2$	$1$	$437760$	$2.203892$	$-16384/25$	$0.82449$	$4.75739$	$1$	$[0, -1, 0, -228633, -80167738]$	\(y^2=x^3-x^2-228633x-80167738\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[ ]$	$1$
64980.m2	64980j1	64980.m	64980j	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$10.21819622$	$1$		$1$	$437760$	$1.948479$	$-16384/25$	$0.82449$	$4.22848$	$1$	$[0, 0, 0, -82308, 17332693]$	\(y^2=x^3-82308x+17332693\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(27281/22, 38203065/22)]$	$1$
64980.n2	64980i1	64980.n	64980i	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.938837797$	$1$		$5$	$23040$	$0.476259$	$-16384/25$	$0.82449$	$2.63429$	$1$	$[0, 0, 0, -228, -2527]$	\(y^2=x^3-228x-2527\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(38, 209)]$	$1$
115520.e2	115520bq1	115520.e	115520bq	$2$	$2$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 5^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$583680$	$1.745747$	$-16384/25$	$0.82449$	$3.81108$	$1$	$[0, 1, 0, -36581, 5123419]$	\(y^2=x^3+x^2-36581x+5123419\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[ ]$	$1$
115520.f2	115520h1	115520.f	115520h	$2$	$2$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.087710716$	$1$		$7$	$30720$	$0.273527$	$-16384/25$	$0.82449$	$2.29557$	$1$	$[0, 1, 0, -101, 715]$	\(y^2=x^3+x^2-101x+715\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(6, 19)]$	$1$
115520.ck2	115520bp1	115520.ck	115520bp	$2$	$2$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 5^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.273527$	$-16384/25$	$0.82449$	$2.29557$	$1$	$[0, -1, 0, -101, -715]$	\(y^2=x^3-x^2-101x-715\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[ ]$	$1$
115520.cm2	115520f1	115520.cm	115520f	$2$	$2$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$32.25633583$	$1$		$1$	$583680$	$1.745747$	$-16384/25$	$0.82449$	$3.81108$	$1$	$[0, -1, 0, -36581, -5123419]$	\(y^2=x^3-x^2-36581x-5123419\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(353593000039381/896761, 5751430619577753690180/896761)]$	$1$
144400.j2	144400e1	144400.j	144400e	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$4$	$2$	$1$	$1751040$	$2.203892$	$-16384/25$	$0.82449$	$4.20226$	$1$	$[0, 1, 0, -228633, 80167738]$	\(y^2=x^3+x^2-228633x+80167738\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[ ]$	$1$
144400.cr2	144400bp1	144400.cr	144400bp	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$4$	$2$	$1$	$92160$	$0.731672$	$-16384/25$	$0.82449$	$2.71521$	$1$	$[0, -1, 0, -633, -11488]$	\(y^2=x^3-x^2-633x-11488\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[ ]$	$1$
259920.bm2	259920bm1	259920.bm	259920bm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$17.06775521$	$1$		$1$	$1751040$	$1.948479$	$-16384/25$	$0.82449$	$3.75833$	$1$	$[0, 0, 0, -82308, -17332693]$	\(y^2=x^3-82308x-17332693\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(139288969/422, 1496972149605/422)]$	$1$
259920.bp2	259920bp1	259920.bp	259920bp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$2.674741811$	$1$		$3$	$92160$	$0.476259$	$-16384/25$	$0.82449$	$2.34139$	$1$	$[0, 0, 0, -228, 2527]$	\(y^2=x^3-228x+2527\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(57, 418)]$	$1$
324900.ci2	324900ci1	324900.ci	324900ci	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$7.986370335$	$1$		$1$	$552960$	$1.280979$	$-16384/25$	$0.82449$	$3.06111$	$1$	$[0, 0, 0, -5700, -315875]$	\(y^2=x^3-5700x-315875\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(11571/5, 1225994/5)]$	$1$
324900.cl2	324900cl1	324900.cl	324900cl	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$5.380361284$	$1$		$1$	$10506240$	$2.753197$	$-16384/25$	$0.82449$	$4.45314$	$1$	$[0, 0, 0, -2057700, 2166586625]$	\(y^2=x^3-2057700x+2166586625\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(2905/2, 259875/2)]$	$1$
353780.d2	353780d1	353780.d	353780d	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$2.585197168$	$1$		$3$	$368640$	$0.899908$	$-16384/25$	$0.82449$	$2.68279$	$1$	$[0, 1, 0, -1241, -32516]$	\(y^2=x^3+x^2-1241x-32516\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(184, 2450)]$	$1$
353780.bh2	353780bh1	353780.bh	353780bh	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$4.005533956$	$1$		$3$	$7004160$	$2.372128$	$-16384/25$	$0.82449$	$4.06554$	$1$	$[0, -1, 0, -448121, 220338770]$	\(y^2=x^3-x^2-448121x+220338770\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(418, 10290)]$	$1$

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