Cremona's table of elliptic curves

4305 = 3 · 5 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
4305a (1 curve)	0	3+ 5+ 7- 41+	0 3+ 5+ 7- -3  0  3  2
Curve Equation t 4305a1 [0,-1,1,-385481,-92520619] 1
4305b (2 curves)	0	3+ 5+ 7- 41+	1 3+ 5+ 7-  2 -4  0  2
Curve Equation t 4305b1 [1,1,0,-3388,-77333] 2 4305b2 [1,1,0,-3363,-78498] 2
4305c (2 curves)	1	3+ 5+ 7- 41-	-1 3+ 5+ 7-  0  2 -4  0
Curve Equation t Generators 4305c1 [1,1,1,-951,10884] 2 [-24:155:1] 4305c2 [1,1,1,-746,15968] 2 [26:-136:1]
4305d (4 curves)	1	3+ 5- 7+ 41-	1 3+ 5- 7+ -4  6  2 -4
Curve Equation t Generators 4305d1 [1,1,0,-807,8496] 2 [2320:1152:125] 4305d2 [1,1,0,-812,8379] 4 [-2:101:1] 4305d3 [1,1,0,-1837,-18476] 2 [-98:439:8] 4305d4 [1,1,0,133,27846] 4 [25194:757588:27]
4305e (1 curve)	1	3+ 5- 7- 41+	-2 3+ 5- 7-  3 -4  1  6
Curve Equation t Generators 4305e1 [0,-1,1,-9870,380738] 1 [59:-18:1]
4305f (2 curves)	1	3- 5+ 7+ 41-	1 3- 5+ 7+  4 -2  4 -4
Curve Equation t Generators 4305f1 [1,0,1,-1354,-19273] 2 [9496905:45155404:166375] 4305f2 [1,0,1,-1149,-25259] 2 [8395:51873:125]
4305g (2 curves)	1	3- 5+ 7+ 41-	-1 3- 5+ 7+  0  2  0  0
Curve Equation t Generators 4305g1 [1,0,0,-41,0] 2 [9:15:1] 4305g2 [1,0,0,164,41] 2 [5:29:1]
4305h (2 curves)	1	3- 5+ 7- 41+	-1 3- 5+ 7- -2 -4  4 -2
Curve Equation t Generators 4305h1 [1,0,0,-18416,960375] 2 [-47:1336:1] 4305h2 [1,0,0,-17791,1028750] 2 [101:-565:1]
4305i (4 curves)	0	3- 5- 7+ 41-	-1 3- 5- 7+  0  2  6  0
Curve Equation t 4305i1 [1,0,0,-5585,-125328] 4 4305i2 [1,0,0,-83710,-9328453] 4 4305i3 [1,0,0,-1339335,-596709828] 2 4305i4 [1,0,0,-78085,-10634578] 2
4305j (6 curves)	0	3- 5- 7+ 41-	-1 3- 5- 7+ -4  6 -6  4
Curve Equation t 4305j1 [1,0,0,-84755,9490152] 4 4305j2 [1,0,0,-84760,9488975] 8 4305j3 [1,0,0,-94885,7077200] 4 4305j4 [1,0,0,-74715,11825442] 8 4305j5 [1,0,0,-635110,-189672745] 2 4305j6 [1,0,0,283340,49514045] 2
4305k (1 curve)	0	3- 5- 7+ 41-	2 3- 5- 7+  5  0  3 -2
Curve Equation t 4305k1 [0,1,1,0,-19] 1
4305l (2 curves)	0	3- 5- 7- 41+	0 3- 5- 7-  0 -4 -6  5
Curve Equation t 4305l1 [0,1,1,-425,-7594] 3 4305l2 [0,1,1,-44975,-3686209] 1
4305m (6 curves)	1	3- 5- 7- 41-	-1 3- 5- 7-  4 -2 -6 -4
Curve Equation t Generators 4305m1 [1,0,0,-585,3600] 4 [-25:65:1] 4305m2 [1,0,0,-3710,-84525] 8 [91:532:1] 4305m3 [1,0,0,-58835,-5497800] 4 [616:13552:1] 4305m4 [1,0,0,1415,-298750] 4 [65:230:1] 4305m5 [1,0,0,-941360,-351624105] 2 [73044:463263:64] 4305m6 [1,0,0,-58310,-5600595] 2 [133026:2927797:216]
4305n (1 curve)	1	3- 5- 7- 41-	-2 3- 5- 7- -3  0 -1 -2
Curve Equation t Generators 4305n1 [0,1,1,3710,-163256] 1 [161:-2153:1]

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