Elliptic curve search results

Results (22 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
6930.i1	6930c1	6930.i	6930c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$7680$	$0.839279$	$51603494067/4336640$	$1.01374$	$3.90727$	$[1, -1, 0, -2094, -33580]$	\(y^2+xy=x^3-x^2-2094x-33580\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[]$
6930.v1	6930s1	6930.v	6930s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.313285155$	$1$		$11$	$2560$	$0.289973$	$51603494067/4336640$	$1.01374$	$3.16191$	$[1, -1, 1, -233, 1321]$	\(y^2+xy+y=x^3-x^2-233x+1321\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(1, 32)]$
34650.bx1	34650f1	34650.bx	34650f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.272420287$	$1$		$7$	$61440$	$1.094692$	$51603494067/4336640$	$1.01374$	$3.59888$	$[1, -1, 0, -5817, 159341]$	\(y^2+xy=x^3-x^2-5817x+159341\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(59, 108)]$
34650.dt1	34650co1	34650.dt	34650co	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.696915849$	$1$		$9$	$184320$	$1.643999$	$51603494067/4336640$	$1.01374$	$4.22948$	$[1, -1, 1, -52355, -4249853]$	\(y^2+xy+y=x^3-x^2-52355x-4249853\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-121, 610)]$
48510.d1	48510b1	48510.d	48510b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.812235$	$51603494067/4336640$	$1.01374$	$4.28470$	$[1, -1, 0, -102615, 11723165]$	\(y^2+xy=x^3-x^2-102615x+11723165\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[]$
48510.dx1	48510ch1	48510.dx	48510ch	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1.090274085$	$1$		$7$	$122880$	$1.262928$	$51603494067/4336640$	$1.01374$	$3.67376$	$[1, -1, 1, -11402, -430391]$	\(y^2+xy+y=x^3-x^2-11402x-430391\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-71, 167)]$
55440.bs1	55440ca1	55440.bs	55440ca	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.455723044$	$1$		$5$	$61440$	$0.983121$	$51603494067/4336640$	$1.01374$	$3.32146$	$[0, 0, 0, -3723, -80838]$	\(y^2=x^3-3723x-80838\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-33, 78)]$
55440.ew1	55440co1	55440.ew	55440co	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$3.657887309$	$1$		$3$	$184320$	$1.532427$	$51603494067/4336640$	$1.01374$	$3.92492$	$[0, 0, 0, -33507, 2182626]$	\(y^2=x^3-33507x+2182626\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(130, 154)]$
76230.t1	76230d1	76230.t	76230d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$5.623805111$	$1$		$3$	$307200$	$1.488920$	$51603494067/4336640$	$1.01374$	$3.76729$	$[1, -1, 0, -28155, -1674139]$	\(y^2+xy=x^3-x^2-28155x-1674139\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(2951, 158547)]$
76230.es1	76230db1	76230.es	76230db	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$3.646249566$	$1$		$5$	$921600$	$2.038227$	$51603494067/4336640$	$1.01374$	$4.35366$	$[1, -1, 1, -253397, 45455149]$	\(y^2+xy+y=x^3-x^2-253397x+45455149\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(169, 2642)]$
221760.cf1	221760nq1	221760.cf	221760nq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$13.20953719$	$1$		$5$	$1474560$	$1.879000$	$51603494067/4336640$	$1.01374$	$3.82076$	$[0, 0, 0, -134028, -17461008]$	\(y^2=x^3-134028x-17461008\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-216, 1188), (2161/2, 65879/2)]$
221760.dt1	221760ha1	221760.dt	221760ha	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$4.007546037$	$1$		$3$	$1474560$	$1.879000$	$51603494067/4336640$	$1.01374$	$3.82076$	$[0, 0, 0, -134028, 17461008]$	\(y^2=x^3-134028x+17461008\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-324, 5184)]$
221760.gw1	221760ne1	221760.gw	221760ne	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.329695$	$51603494067/4336640$	$1.01374$	$3.28525$	$[0, 0, 0, -14892, 646704]$	\(y^2=x^3-14892x+646704\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[]$
221760.mv1	221760fq1	221760.mv	221760fq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{28} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$5.605797264$	$1$		$1$	$491520$	$1.329695$	$51603494067/4336640$	$1.01374$	$3.28525$	$[0, 0, 0, -14892, -646704]$	\(y^2=x^3-14892x-646704\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(625/2, 7337/2)]$
242550.go1	242550go1	242550.go	242550go	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.902175769$	$1$		$9$	$2949120$	$2.067646$	$51603494067/4336640$	$1.01374$	$3.97572$	$[1, -1, 0, -285042, -54083884]$	\(y^2+xy=x^3-x^2-285042x-54083884\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-341, 2008)]$
242550.kd1	242550kd1	242550.kd	242550kd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.933207085$	$1$		$11$	$8847360$	$2.616955$	$51603494067/4336640$	$1.01374$	$4.50735$	$[1, -1, 1, -2565380, 1462830247]$	\(y^2+xy+y=x^3-x^2-2565380x+1462830247\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-691, 54245)]$
277200.z1	277200z1	277200.z	277200z	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.787840$	$51603494067/4336640$	$1.01374$	$3.66544$	$[0, 0, 0, -93075, -10104750]$	\(y^2=x^3-93075x-10104750\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[]$
277200.en1	277200en1	277200.en	277200en	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{22} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$2.169162461$	$1$		$7$	$4423680$	$2.337147$	$51603494067/4336640$	$1.01374$	$4.19140$	$[0, 0, 0, -837675, 272828250]$	\(y^2=x^3-837675x+272828250\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(661, 2816)]$
381150.dd1	381150dd1	381150.dd	381150dd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$22118400$	$2.842945$	$51603494067/4336640$	$1.01374$	$4.55985$	$[1, -1, 0, -6334917, 5675558741]$	\(y^2+xy=x^3-x^2-6334917x+5675558741\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[]$
381150.lo1	381150lo1	381150.lo	381150lo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$4.359731167$	$1$		$3$	$7372800$	$2.293640$	$51603494067/4336640$	$1.01374$	$4.04691$	$[1, -1, 1, -703880, -209971253]$	\(y^2+xy+y=x^3-x^2-703880x-209971253\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(-587, 1121)]$
388080.fc1	388080fc1	388080.fc	388080fc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{22} \cdot 3^{9} \cdot 5 \cdot 7^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.505383$	$51603494067/4336640$	$1.01374$	$4.23869$	$[0, 0, 0, -1641843, -748640718]$	\(y^2=x^3-1641843x-748640718\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[]$
388080.ir1	388080ir1	388080.ir	388080ir	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{22} \cdot 3^{3} \cdot 5 \cdot 7^{7} \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$840$	$12$	$0$	$3.118756522$	$1$		$15$	$2949120$	$1.956076$	$51603494067/4336640$	$1.01374$	$3.72648$	$[0, 0, 0, -182427, 27727434]$	\(y^2=x^3-182427x+27727434\)	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(175, 1078), (714, 16170)]$