Cremona's table of elliptic curves

31395 = 3 · 5 · 7 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
31395a (4 curves)	1	3+ 5+ 7+ 13+ 23+	-1 3+ 5+ 7+ -4 13+  6  0
Curve Equation t Generators 31395a1 [1,1,1,-798396,-272782596] 2 [-33835824:90963340:68921] 31395a2 [1,1,1,-1386641,182048438] 4 [-156:19942:1] 31395a3 [1,1,1,5279564,1429962014] 2 [21898669:1644534606:4913] 31395a4 [1,1,1,-17464766,28055085938] 2 [19295621:227646592:6859]
31395b (4 curves)	0	3+ 5+ 7+ 13- 23+	1 3+ 5+ 7+  0 13-  6  4
Curve Equation t 31395b1 [1,1,0,-9418,-355337] 2 31395b2 [1,1,0,-12063,-143208] 4 31395b3 [1,1,0,46242,-1064427] 2 31395b4 [1,1,0,-112688,14407167] 2
31395c (1 curve)	2	3+ 5+ 7- 13+ 23+	0 3+ 5+ 7-  1 13+ -7 -2
Curve Equation t Generators 31395c1 [0,-1,1,-211,321] 1 [-6:171:8]&[-11:34:1]
31395d (1 curve)	0	3+ 5+ 7- 13+ 23+	0 3+ 5+ 7- -1 13+  0 -1
Curve Equation t 31395d1 [0,-1,1,-1821,-64723] 1
31395e (1 curve)	0	3+ 5+ 7- 13+ 23+	0 3+ 5+ 7-  4 13+  5  4
Curve Equation t 31395e1 [0,-1,1,20719,-4846423] 1
31395f (4 curves)	1	3+ 5- 7+ 13+ 23-	1 3+ 5- 7+  0 13+ -2  0
Curve Equation t Generators 31395f1 [1,1,0,5388,-511821] 2 [314:5523:1] 31395f2 [1,1,0,-72737,-6933696] 4 [-140:798:1] 31395f3 [1,1,0,-259612,43111429] 2 [4630:72361:8] 31395f4 [1,1,0,-1135862,-466416321] 2 [11990:271201:8]
31395g (4 curves)	0	3+ 5- 7+ 13- 23-	1 3+ 5- 7+  4 13- -6 -4
Curve Equation t 31395g1 [1,1,0,-1962,-34281] 2 31395g2 [1,1,0,-1967,-34104] 4 31395g3 [1,1,0,-472,-82841] 2 31395g4 [1,1,0,-3542,26061] 4
31395h (2 curves)	0	3+ 5- 7- 13+ 23-	1 3+ 5- 7-  4 13+  4  4
Curve Equation t 31395h1 [1,1,0,-392,-2181] 2 31395h2 [1,1,0,1103,-13244] 2
31395i (1 curve)	0	3- 5+ 7+ 13+ 23+	0 3- 5+ 7+  3 13+  3  6
Curve Equation t 31395i1 [0,1,1,-7155461,-7115974630] 1
31395j (1 curve)	0	3- 5+ 7- 13+ 23-	0 3- 5+ 7-  5 13+  4 -5
Curve Equation t 31395j1 [0,1,1,-38351,-2903704] 1
31395k (4 curves)	0	3- 5+ 7- 13+ 23-	-1 3- 5+ 7-  4 13+  6  0
Curve Equation t 31395k1 [1,0,0,-15201720821,-721419445095720] 2 31395k2 [1,0,0,-15277264666,-713887134507229] 4 31395k3 [1,0,0,728293539,-2135568037619790] 2 31395k4 [1,0,0,-32491524391,1189861948444136] 2
31395l (2 curves)	0	3- 5+ 7- 13- 23+	0 3- 5+ 7-  0 13- -3  8
Curve Equation t 31395l1 [0,1,1,-8741,314840] 3 31395l2 [0,1,1,29869,1645481] 1
31395m (1 curve)	1	3- 5+ 7- 13- 23-	1 3- 5+ 7-  2 13- -6  5
Curve Equation t Generators 31395m1 [1,0,1,-2969,-62503] 1 [63:7:1]
31395n (1 curve)	1	3- 5+ 7- 13- 23-	-1 3- 5+ 7- -2 13- -2 -3
Curve Equation t Generators 31395n1 [1,0,0,14749,-705894] 1 [343:-6860:1]
31395o (4 curves)	1	3- 5+ 7- 13- 23-	-1 3- 5+ 7-  4 13- -2 -4
Curve Equation t Generators 31395o1 [1,0,0,-461,-1320] 2 [-11:55:1] 31395o2 [1,0,0,-4106,100011] 4 [-35:466:1] 31395o3 [1,0,0,-1001,248430] 2 [13:-494:1] 31395o4 [1,0,0,-65531,6451356] 2 [148:-68:1]
31395p (1 curve)	1	3- 5+ 7- 13- 23-	-2 3- 5+ 7-  3 13- -3  4
Curve Equation t Generators 31395p1 [0,1,1,-9716,202676] 1 [7:367:1]
31395q (2 curves)	0	3- 5- 7+ 13- 23+	1 3- 5- 7+  0 13-  0  8
Curve Equation t 31395q1 [1,0,1,-24018,-1434569] 2 31395q2 [1,0,1,-22523,-1620547] 2
31395r (4 curves)	1	3- 5- 7- 13- 23+	-1 3- 5- 7-  0 13- -2  4
Curve Equation t Generators 31395r1 [1,0,0,80,12287] 4 [-98:829:8] 31395r2 [1,0,0,-7525,245000] 4 [-35:700:1] 31395r3 [1,0,0,-17080,-506023] 2 [-56:553:1] 31395r4 [1,0,0,-119650,15920075] 2 [310:-3095:1]

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

Part of Computational Number Theory
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