Cremona's table of elliptic curves

45240 = 2³ · 3 · 5 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
45240a (1 curve)	1	2+ 3+ 5+ 13+ 29+	2+ 3+ 5+  1 -1 13+ -3  0
Curve Equation t Generators 45240a1 [0,-1,0,239,565] 1 [9:-58:1]
45240b (4 curves)	1	2+ 3+ 5+ 13- 29-	2+ 3+ 5+ -4  0 13-  2 -4
Curve Equation t Generators 45240b1 [0,-1,0,169,3900] 2 [4:68:1] 45240b2 [0,-1,0,-2956,58900] 4 [-14:312:1] 45240b3 [0,-1,0,-9456,-281700] 2 [-46:232:1] 45240b4 [0,-1,0,-46456,3869500] 4 [129:82:1]
45240c (1 curve)	1	2+ 3+ 5- 13+ 29-	2+ 3+ 5- -2 -5 13+  0 -6
Curve Equation t Generators 45240c1 [0,-1,0,1375,14085] 1 [37:338:1]
45240d (4 curves)	0	2+ 3+ 5- 13- 29-	2+ 3+ 5-  0  4 13-  6  4
Curve Equation t 45240d1 [0,-1,0,-1495,-17468] 4 45240d2 [0,-1,0,-22620,-1301868] 4 45240d3 [0,-1,0,-21320,-1459428] 2 45240d4 [0,-1,0,-361920,-83683908] 2
45240e (1 curve)	0	2+ 3+ 5- 13- 29-	2+ 3+ 5-  2  1 13- -5  6
Curve Equation t 45240e1 [0,-1,0,47560,16867212] 1
45240f (1 curve)	1	2+ 3- 5+ 13- 29+	2+ 3- 5+ -1  3 13-  3 -2
Curve Equation t Generators 45240f1 [0,1,0,-90201,-10479285] 1 [419:5046:1]
45240g (2 curves)	1	2+ 3- 5+ 13- 29+	2+ 3- 5+  4  0 13- -4 -4
Curve Equation t Generators 45240g1 [0,1,0,-156,-576] 2 [32:168:1] 45240g2 [0,1,0,424,-3360] 2 [12:60:1]
45240h (1 curve)	0	2+ 3- 5- 13+ 29-	2+ 3- 5- -3 -3 13+ -5  0
Curve Equation t 45240h1 [0,1,0,-12913265,-17865158637] 1
45240i (4 curves)	0	2+ 3- 5- 13- 29+	2+ 3- 5-  0 -4 13-  6  0
Curve Equation t 45240i1 [0,1,0,500,4448] 2 45240i2 [0,1,0,-2880,39600] 4 45240i3 [0,1,0,-17960,-901392] 2 45240i4 [0,1,0,-41880,3284400] 2
45240j (1 curve)	0	2+ 3- 5- 13- 29+	2+ 3- 5-  4  5 13- -6 -2
Curve Equation t 45240j1 [0,1,0,-265,-1765] 1
45240k (4 curves)	1	2+ 3- 5- 13- 29-	2+ 3- 5- -4 -4 13- -2  4
Curve Equation t Generators 45240k1 [0,1,0,-205615,35817758] 4 [-463:5655:1] 45240k2 [0,1,0,-209820,34272000] 4 [-57:6786:1] 45240k3 [0,1,0,213000,155367648] 2 [1788:79092:1] 45240k4 [0,1,0,-699920,-185684880] 2 [-317:2106:1]
45240l (2 curves)	2	2- 3+ 5- 13- 29+	2- 3+ 5-  0 -6 13- -2 -6
Curve Equation t Generators 45240l1 [0,-1,0,-18395,951132] 2 [-91:1365:1]&[-76:1380:1] 45240l2 [0,-1,0,-293020,61148932] 2 [2522:-585:8]&[-312:11050:1]
45240m (2 curves)	2	2- 3+ 5- 13- 29+	2- 3+ 5- -4 -2 13- -2 -2
Curve Equation t Generators 45240m1 [0,-1,0,-195,-468] 2 [-11:15:1]&[-3:9:1] 45240m2 [0,-1,0,-1500,22500] 2 [-40:130:1]&[-24:210:1]
45240n (2 curves)	2	2- 3+ 5- 13- 29+	2- 3+ 5- -4 -2 13- -6 -2
Curve Equation t Generators 45240n1 [0,-1,0,-2795,51900] 2 [-35:325:1]&[5:195:1] 45240n2 [0,-1,0,-43420,3496900] 2 [112:162:1]&[-140:2610:1]
45240o (4 curves)	1	2- 3+ 5- 13- 29-	2- 3+ 5-  0  4 13- -2  4
Curve Equation t Generators 45240o1 [0,-1,0,-655,6640] 2 [32:132:1] 45240o2 [0,-1,0,-1060,-2108] 4 [-18:104:1] 45240o3 [0,-1,0,4160,-20900] 4 [105:1250:1] 45240o4 [0,-1,0,-12760,-549668] 2 [-63:14:1]
45240p (1 curve)	0	2- 3- 5+ 13+ 29-	2- 3- 5+ -2  3 13+ -4  6
Curve Equation t 45240p1 [0,1,0,-733281,241453875] 1
45240q (2 curves)	0	2- 3- 5+ 13- 29+	2- 3- 5+  0  0 13- -8  4
Curve Equation t 45240q1 [0,1,0,-4836,-131040] 2 45240q2 [0,1,0,-4256,-163056] 2
45240r (2 curves)	0	2- 3- 5+ 13- 29+	2- 3- 5+  4  2 13-  6  6
Curve Equation t 45240r1 [0,1,0,-68491,-6919066] 2 45240r2 [0,1,0,-80236,-4396240] 2
45240s (4 curves)	1	2- 3- 5- 13+ 29-	2- 3- 5- -4  0 13+ -6 -4
Curve Equation t Generators 45240s1 [0,1,0,-8180,282048] 4 [-98:390:1] 45240s2 [0,1,0,-8360,268800] 4 [39:60:1] 45240s3 [0,1,0,9040,1257120] 2 [3519:208860:1] 45240s4 [0,1,0,-28640,-1564512] 2 [1578:5655:8]
45240t (2 curves)	1	2- 3- 5- 13- 29+	2- 3- 5-  0  6 13- -2 -2
Curve Equation t Generators 45240t1 [0,1,0,-638515,-189816850] 2 [-505:2025:1] 45240t2 [0,1,0,-1654140,562964400] 2 [-1290:23490:1]

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