Cremona's table of elliptic curves

64614 = 2 · 3 · 11² · 89

Class	r	Atkin-Lehner	Eigenvalues
64614a (1 curve)	0	2+ 3+ 11+ 89-	2+ 3+ -2 -2 11+  7 -3 -2
Curve Equation t 64614a1 [1,1,0,16949,-1929539] 1
64614b (2 curves)	0	2+ 3+ 11+ 89-	2+ 3+  4  4 11+ -2  6 -2
Curve Equation t 64614b1 [1,1,0,-3970023,3042998325] 2 64614b2 [1,1,0,-3971783,3040162965] 2
64614c (1 curve)	2	2+ 3+ 11- 89+	2+ 3+  2 -2 11- -4 -2  4
Curve Equation t Generators 64614c1 [1,1,0,-24,48] 1 [-4:12:1]&[-1:9:1]
64614d (2 curves)	1	2+ 3+ 11- 89-	2+ 3+  0  0 11- -2  6 -4
Curve Equation t Generators 64614d1 [1,1,0,-66310,-6599468] 2 [336456:7666223:512] 64614d2 [1,1,0,-61470,-7597476] 2 [3070:38871:8]
64614e (2 curves)	1	2+ 3+ 11- 89-	2+ 3+ -2  2 11-  0  2  4
Curve Equation t Generators 64614e1 [1,1,0,-1696,-23360] 2 [-27:74:1] 64614e2 [1,1,0,3144,-126936] 2 [61:514:1]
64614f (2 curves)	1	2+ 3- 11+ 89-	2+ 3- -2  4 11+ -6 -6 -4
Curve Equation t Generators 64614f1 [1,0,1,-47,-46] 2 [8:6:1] 64614f2 [1,0,1,173,-310] 2 [10:44:1]
64614g (2 curves)	0	2+ 3- 11- 89-	2+ 3-  0  2 11-  4  2  0
Curve Equation t 64614g1 [1,0,1,-576326,-154526440] 2 64614g2 [1,0,1,662714,-728449768] 2
64614h (1 curve)	2	2+ 3- 11- 89-	2+ 3- -2  2 11- -4 -6  0
Curve Equation t Generators 64614h1 [1,0,1,998,31436] 1 [13:-223:1]&[-8:155:1]
64614i (2 curves)	2	2+ 3- 11- 89-	2+ 3- -2 -4 11-  2 -6 -6
Curve Equation t Generators 64614i1 [1,0,1,-2907,45010] 2 [-56:209:1]&[-7:258:1] 64614i2 [1,0,1,-16217,-758914] 2 [-78:220:1]&[1716:70030:1]
64614j (1 curve)	1	2- 3+ 11+ 89-	2- 3+ -2  2 11+ -7  3  2
Curve Equation t Generators 64614j1 [1,1,1,2050766,2578470335] 1 [3801:253651:1]
64614k (2 curves)	1	2- 3+ 11+ 89-	2- 3+  4 -4 11+  2 -6  2
Curve Equation t Generators 64614k1 [1,1,1,-480372846,-4052632634709] 2 [85836394467943217835:4184543705689538453437:3249354753420875] 64614k2 [1,1,1,-480585806,-4048859835349] 2 [13085682995:3501986575913:166375]
64614l (1 curve)	1	2- 3+ 11- 89+	2- 3+  2  2 11-  4  2 -4
Curve Equation t Generators 64614l1 [1,1,1,-2967,-78627] 1 [13011:1477662:1]
64614m (2 curves)	0	2- 3+ 11- 89-	2- 3+  0  4 11- -2  2 -4
Curve Equation t 64614m1 [1,1,1,-7323,-244155] 2 64614m2 [1,1,1,-6113,-325951] 2
64614n (1 curve)	0	2- 3+ 11- 89-	2- 3+  2  0 11- -5 -5  2
Curve Equation t 64614n1 [1,1,1,240243,-19737981] 1
64614o (2 curves)	0	2- 3+ 11- 89-	2- 3+  2 -4 11- -2 -2  6
Curve Equation t 64614o1 [1,1,1,-1528777,-724919689] 2 64614o2 [1,1,1,-2380617,172238199] 2
64614p (4 curves)	2	2- 3+ 11- 89-	2- 3+ -2  0 11- -2 -6  4
Curve Equation t Generators 64614p1 [1,1,1,-17729,182975] 4 [-115:904:1]&[-35:890:1] 64614p2 [1,1,1,-172609,-27509569] 4 [-247:486:1]&[-243:520:1] 64614p3 [1,1,1,-66129,-60944289] 2 [471:3324:1]&[721:15974:1] 64614p4 [1,1,1,-2757169,-1763300065] 2 [-959:486:1]&[-6577401:3262318:6859]
64614q (2 curves)	0	2- 3- 11+ 89-	2- 3- -2 -4 11+  6  6  4
Curve Equation t 64614q1 [1,0,0,-5629,55265] 2 64614q2 [1,0,0,20991,433269] 2
64614r (1 curve)	1	2- 3- 11- 89-	2- 3- -2 -2 11-  4  6  0
Curve Equation t Generators 64614r1 [1,0,0,120816,-41720832] 1 [252:2052:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations