Elliptic curve search results

Results (18 matches)

  Download displayed columns for results to

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
7980.a2	7980a1	7980.a	7980a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.337176142$	$1$		$9$	$5376$	$0.679981$	$215355490304/1625176875$	$0.99687$	$3.48998$	$[0, -1, 0, 315, 7350]$	\(y^2=x^3-x^2+315x+7350\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(5, 95)]$
23940.h2	23940l1	23940.h	23940l	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.919783553$	$1$		$3$	$43008$	$1.229286$	$215355490304/1625176875$	$0.99687$	$3.76346$	$[0, 0, 0, 2832, -201283]$	\(y^2=x^3+2832x-201283\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(91, 900)]$
31920.cg2	31920cf1	31920.cg	31920cf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$21504$	$0.679981$	$215355490304/1625176875$	$0.99687$	$3.02347$	$[0, 1, 0, 315, -7350]$	\(y^2=x^3+x^2+315x-7350\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[ ]$
39900.v2	39900s1	39900.v	39900s	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$129024$	$1.484699$	$215355490304/1625176875$	$0.99687$	$3.87130$	$[0, 1, 0, 7867, 934488]$	\(y^2=x^3+x^2+7867x+934488\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[ ]$
55860.s2	55860z1	55860.s	55860z	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{10} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$2.129256582$	$1$		$3$	$258048$	$1.652937$	$215355490304/1625176875$	$0.99687$	$3.93682$	$[0, 1, 0, 15419, -2551900]$	\(y^2=x^3+x^2+15419x-2551900\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(3187, 180075)]$
95760.bf2	95760eh1	95760.bf	95760eh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.370439162$	$1$		$3$	$172032$	$1.229286$	$215355490304/1625176875$	$0.99687$	$3.30858$	$[0, 0, 0, 2832, 201283]$	\(y^2=x^3+2832x+201283\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(209, 3150)]$
119700.cl2	119700bg1	119700.cl	119700bg	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$1032192$	$2.034004$	$215355490304/1625176875$	$0.99687$	$4.07130$	$[0, 0, 0, 70800, -25160375]$	\(y^2=x^3+70800x-25160375\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[ ]$
127680.t2	127680dz1	127680.t	127680dz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.136797809$	$1$		$5$	$172032$	$1.026554$	$215355490304/1625176875$	$0.99687$	$3.02071$	$[0, -1, 0, 1259, -60059]$	\(y^2=x^3-x^2+1259x-60059\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(36, 175)]$
127680.ei2	127680ck1	127680.ei	127680ck	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$3.677225768$	$1$		$3$	$172032$	$1.026554$	$215355490304/1625176875$	$0.99687$	$3.02071$	$[0, 1, 0, 1259, 60059]$	\(y^2=x^3+x^2+1259x+60059\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(142, 1767)]$
151620.o2	151620c1	151620.o	151620c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$7.378525765$	$1$		$1$	$1935360$	$2.152199$	$215355490304/1625176875$	$0.99687$	$4.10952$	$[0, 1, 0, 113595, -51095472]$	\(y^2=x^3+x^2+113595x-51095472\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(17849/8, 785715/8)]$
159600.bu2	159600fb1	159600.bu	159600fb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$12.17472480$	$1$		$1$	$516096$	$1.484699$	$215355490304/1625176875$	$0.99687$	$3.42334$	$[0, -1, 0, 7867, -934488]$	\(y^2=x^3-x^2+7867x-934488\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(450808/71, 246995516/71)]$
167580.cc2	167580r1	167580.cc	167580r	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 7^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$2064384$	$2.202244$	$215355490304/1625176875$	$0.99687$	$4.12525$	$[0, 0, 0, 138768, 69040069]$	\(y^2=x^3+138768x+69040069\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[ ]$
223440.ca2	223440fl1	223440.ca	223440fl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{10} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.570283753$	$1$		$3$	$1032192$	$1.652937$	$215355490304/1625176875$	$0.99687$	$3.49373$	$[0, -1, 0, 15419, 2551900]$	\(y^2=x^3-x^2+15419x+2551900\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(3288, 188650)]$
279300.c2	279300c1	279300.c	279300c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 7^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$6193152$	$2.457657$	$215355490304/1625176875$	$0.99687$	$4.20162$	$[0, -1, 0, 385467, -319758438]$	\(y^2=x^3-x^2+385467x-319758438\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[ ]$
383040.hi2	383040hi1	383040.hi	383040hi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$3.900833543$	$1$		$15$	$1376256$	$1.575861$	$215355490304/1625176875$	$0.99687$	$3.27530$	$[0, 0, 0, 11328, -1610264]$	\(y^2=x^3+11328x-1610264\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(257, 4275), (122, 1260)]$
383040.oz2	383040oz1	383040.oz	383040oz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.499209255$	$1$		$9$	$1376256$	$1.575861$	$215355490304/1625176875$	$0.99687$	$3.27530$	$[0, 0, 0, 11328, 1610264]$	\(y^2=x^3+11328x+1610264\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(-2, 1260)]$
454860.r2	454860r1	454860.r	454860r	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$15482880$	$2.701508$	$215355490304/1625176875$	$0.99687$	$4.26894$	$[0, 0, 0, 1022352, 1380600097]$	\(y^2=x^3+1022352x+1380600097\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[ ]$
478800.d2	478800d1	478800.d	478800d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{7} \cdot 5^{10} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.034004$	$215355490304/1625176875$	$0.99687$	$3.63977$	$[0, 0, 0, 70800, 25160375]$	\(y^2=x^3+70800x+25160375\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[ ]$

  Download displayed columns for results to