Cremona's table of elliptic curves

44616 = 2³ · 3 · 11 · 13²

Class	r	Atkin-Lehner	Eigenvalues
44616a (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+ -1  0 11+ 13+  5 -1
Curve Equation t Generators 44616a1 [0,-1,0,-56,12] 1 [-3:12:1]
44616b (6 curves)	1	2+ 3+ 11+ 13+	2+ 3+  2  0 11+ 13+  2 -4
Curve Equation t Generators 44616b1 [0,-1,0,-797567,274422732] 4 [-109:18975:1] 44616b2 [0,-1,0,-798412,273812980] 4 [-1707350:-296356104:15625] 44616b3 [0,-1,0,-402952,544782172] 2 [5898:450892:1] 44616b4 [0,-1,0,-1207392,-36193860] 4 [-89501887275:-5833975114206:381078125] 44616b5 [0,-1,0,4815768,-293985108] 2 [3297510002622739717325:-265610321341625192594862:584119818507078125] 44616b6 [0,-1,0,-13774232,-19625384052] 2 [-15094705740206926245163825:42005958560014276565988102:7194170637228945109375]
44616c (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  0 -4 11- 13+  8 -4
Curve Equation t 44616c1 [0,-1,0,1972,-545676] 2 44616c2 [0,-1,0,-89288,-9927204] 2
44616d (1 curve)	0	2+ 3+ 11- 13+	2+ 3+  1  1 11- 13+  5  2
Curve Equation t 44616d1 [0,-1,0,-273160,119575468] 1
44616e (2 curves)	1	2+ 3+ 11- 13-	2+ 3+  2  2 11- 13- -2 -2
Curve Equation t Generators 44616e1 [0,-1,0,-407,-1548] 2 [-17:13:1] 44616e2 [0,-1,0,1348,-12780] 2 [10:40:1]
44616f (2 curves)	1	2+ 3+ 11- 13-	2+ 3+  2 -2 11- 13- -4 -4
Curve Equation t Generators 44616f1 [0,-1,0,-44672,-9748740] 2 [27399142070:605231806960:46268279] 44616f2 [0,-1,0,-1011352,-390620660] 2 [17219155125645861302:-187069482155236812945:14166515311216696]
44616g (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  0 -2 11+ 13+ -2 -8
Curve Equation t 44616g1 [0,1,0,-1408,5552] 2 44616g2 [0,1,0,5352,48816] 2
44616h (1 curve)	0	2+ 3- 11+ 13+	2+ 3- -2  0 11+ 13+ -4  7
Curve Equation t 44616h1 [0,1,0,-264,-3600] 1
44616i (2 curves)	0	2+ 3- 11+ 13+	2+ 3- -2 -4 11+ 13+  4  2
Curve Equation t 44616i1 [0,1,0,14816,-59344] 2 44616i2 [0,1,0,-59544,-535248] 2
44616j (2 curves)	1	2+ 3- 11- 13+	2+ 3- -2  0 11- 13+  8 -2
Curve Equation t Generators 44616j1 [0,1,0,1001776,654038256] 2 [4060:-267696:1] 44616j2 [0,1,0,-7995784,7146677552] 2 [-373:100386:1]
44616k (1 curve)	0	2- 3+ 11+ 13+	2- 3+  1 -3 11+ 13+  0  6
Curve Equation t 44616k1 [0,-1,0,-820720,-338184692] 1
44616l (1 curve)	0	2- 3+ 11+ 13+	2- 3+ -1 -1 11+ 13+  5 -2
Curve Equation t 44616l1 [0,-1,0,-1616,54924] 1
44616m (4 curves)	0	2- 3+ 11+ 13+	2- 3+ -2  0 11+ 13+  6  0
Curve Equation t 44616m1 [0,-1,0,-2084,-34620] 2 44616m2 [0,-1,0,-5464,110044] 4 44616m3 [0,-1,0,14816,718444] 2 44616m4 [0,-1,0,-79824,8706060] 2
44616n (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2  2 11+ 13- -4  4
Curve Equation t Generators 44616n1 [0,-1,0,-264,-4356] 2 [374:7216:1] 44616n2 [0,-1,0,-5984,-175956] 2 [3018:57195:8]
44616o (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2 -2 11+ 13- -2  2
Curve Equation t Generators 44616o1 [0,-1,0,-68839,-3676232] 2 [-164:1782:1] 44616o2 [0,-1,0,227756,-27166556] 2 [3082:86757:8]
44616p (1 curve)	1	2- 3+ 11- 13+	2- 3+  1  0 11- 13+  5  1
Curve Equation t Generators 44616p1 [0,-1,0,-9520,-11636] 1 [-1005:14534:27]
44616q (2 curves)	1	2- 3- 11+ 13+	2- 3-  0  0 11+ 13+ -4  0
Curve Equation t Generators 44616q1 [0,1,0,481932,-469027584] 2 [810:21294:1] 44616q2 [0,1,0,-6910128,-6435898416] 2 [7128:553644:1]
44616r (4 curves)	1	2- 3- 11+ 13+	2- 3-  2  0 11+ 13+ -2  4
Curve Equation t Generators 44616r1 [0,1,0,6028,-24192] 4 [367:7194:1] 44616r2 [0,1,0,-24392,-218880] 4 [510785:9133110:1331] 44616r3 [0,1,0,-247472,47074080] 2 [1974607419939:24502118860610:4227952113] 44616r4 [0,1,0,-288032,-59485152] 2 [706844365095:-415903915686:1141166125]
44616s (4 curves)	1	2- 3- 11+ 13+	2- 3- -2 -4 11+ 13+ -6  0
Curve Equation t Generators 44616s1 [0,1,0,-129679,13133810] 4 [-217:5577:1] 44616s2 [0,1,0,-745684,-237457024] 4 [-529:3042:1] 44616s3 [0,1,0,440696,-920811904] 2 [1499:55770:1] 44616s4 [0,1,0,-11788144,-15582059440] 2 [-1981:138:1]
44616t (1 curve)	0	2- 3- 11- 13+	2- 3-  2  0 11- 13+ -4 -7
Curve Equation t 44616t1 [0,1,0,-44672,-7730592] 1
44616u (4 curves)	0	2- 3- 11- 13+	2- 3-  2 -4 11- 13+  6  8
Curve Equation t 44616u1 [0,1,0,113,12650] 2 44616u2 [0,1,0,-7492,240800] 4 44616u3 [0,1,0,-17632,-562288] 2 44616u4 [0,1,0,-119032,15767168] 2
44616v (1 curve)	0	2- 3- 11- 13+	2- 3-  3 -3 11- 13+ -4 -6
Curve Equation t 44616v1 [0,1,0,28336,-429792] 1
44616w (2 curves)	0	2- 3- 11- 13+	2- 3- -4  2 11- 13+ -6 -4
Curve Equation t 44616w1 [0,1,0,-1354760,-607385856] 2 44616w2 [0,1,0,-1348000,-613740256] 2

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