Cremona's table of elliptic curves

5952 = 2⁶ · 3 · 31

Class	r	Atkin-Lehner	Eigenvalues
5952a (1 curve)	1	2+ 3+ 31+	2+ 3+  1  2 -1 -1  3  1
Curve Equation t Generators 5952a1 [0,-1,0,-8065,-284831] 1 [165:1688:1]
5952b (1 curve)	1	2+ 3+ 31+	2+ 3+  1 -3  4  2  0 -1
Curve Equation t Generators 5952b1 [0,-1,0,-385,3049] 1 [16:27:1]
5952c (4 curves)	1	2+ 3+ 31+	2+ 3+  2  0 -4  2  6 -4
Curve Equation t Generators 5952c1 [0,-1,0,-1117,-14003] 2 [213057:1940680:2197] 5952c2 [0,-1,0,-1137,-13455] 4 [377:7280:1] 5952c3 [0,-1,0,-3617,68385] 2 [49:80:1] 5952c4 [0,-1,0,1023,-60543] 2 [128933:2504060:343]
5952d (1 curve)	1	2+ 3+ 31+	2+ 3+  3 -5 -2  4 -4  5
Curve Equation t Generators 5952d1 [0,-1,0,-9,81] 1 [0:9:1]
5952e (1 curve)	1	2+ 3+ 31+	2+ 3+ -3 -2 -5  7 -1 -7
Curve Equation t Generators 5952e1 [0,-1,0,-1057,-13151] 1 [89:768:1]
5952f (2 curves)	0	2+ 3+ 31-	2+ 3+ -1 -2  3  1  3  5
Curve Equation t 5952f1 [0,-1,0,959,3649] 1 5952f2 [0,-1,0,-89281,-10243391] 1
5952g (2 curves)	0	2+ 3+ 31-	2+ 3+  2  4  0 -2  0 -4
Curve Equation t 5952g1 [0,-1,0,-37,133] 2 5952g2 [0,-1,0,-657,6705] 2
5952h (2 curves)	0	2+ 3+ 31-	2+ 3+  2 -4  0 -6  4  0
Curve Equation t 5952h1 [0,-1,0,-32,-30] 2 5952h2 [0,-1,0,103,-327] 2
5952i (1 curve)	0	2+ 3+ 31-	2+ 3+  3  1  6  0 -4  3
Curve Equation t 5952i1 [0,-1,0,31,681] 1
5952j (1 curve)	0	2+ 3+ 31-	2+ 3+  3  2 -1  1  7  5
Curve Equation t 5952j1 [0,-1,0,31,-63] 1
5952k (2 curves)	0	2+ 3+ 31-	2+ 3+ -3 -1  0 -2  0  1
Curve Equation t 5952k1 [0,-1,0,-12217,-542399] 1 5952k2 [0,-1,0,-1003657,-386679119] 1
5952l (1 curve)	0	2+ 3- 31+	2+ 3-  1  1  0  6  0  3
Curve Equation t 5952l1 [0,1,0,15,-9] 1
5952m (2 curves)	0	2+ 3- 31+	2+ 3-  2  4  0 -6  4  0
Curve Equation t 5952m1 [0,1,0,-32,30] 2 5952m2 [0,1,0,103,327] 2
5952n (1 curve)	0	2+ 3- 31+	2+ 3-  3  2  5 -1  1 -7
Curve Equation t 5952n1 [0,1,0,-129,-801] 1
5952o (1 curve)	0	2+ 3- 31+	2+ 3-  3 -2  1  1  7 -5
Curve Equation t 5952o1 [0,1,0,31,63] 1
5952p (1 curve)	0	2+ 3- 31+	2+ 3- -3  5 -4  2 -8 -1
Curve Equation t 5952p1 [0,1,0,3743,-202969] 1
5952q (1 curve)	1	2+ 3- 31-	2+ 3-  1 -1  0  6 -8 -7
Curve Equation t Generators 5952q1 [0,1,0,-25,47] 1 [2:3:1]
5952r (1 curve)	1	2+ 3- 31-	2+ 3-  1  2 -3 -3  1 -7
Curve Equation t Generators 5952r1 [0,1,0,-5345,-172929] 1 [115:864:1]
5952s (1 curve)	1	2+ 3- 31-	2+ 3-  1 -2  1 -1  3 -1
Curve Equation t Generators 5952s1 [0,1,0,-8065,284831] 1 [-61:744:1]
5952t (1 curve)	1	2+ 3- 31-	2+ 3- -1 -3  2 -4 -4  7
Curve Equation t Generators 5952t1 [0,1,0,-561,5463] 1 [-6:93:1]
5952u (1 curve)	0	2- 3+ 31+	2- 3+  1  1  0  6 -8  7
Curve Equation t 5952u1 [0,-1,0,-25,-47] 1
5952v (1 curve)	0	2- 3+ 31+	2- 3+  1 -2  3 -3  1  7
Curve Equation t 5952v1 [0,-1,0,-5345,172929] 1
5952w (1 curve)	0	2- 3+ 31+	2- 3+ -1  3 -2 -4 -4 -7
Curve Equation t 5952w1 [0,-1,0,-561,-5463] 1
5952x (1 curve)	1	2- 3+ 31-	2- 3+  1 -1  0  6  0 -3
Curve Equation t Generators 5952x1 [0,-1,0,15,9] 1 [0:3:1]
5952y (1 curve)	1	2- 3+ 31-	2- 3+  3 -2 -5 -1  1  7
Curve Equation t Generators 5952y1 [0,-1,0,-129,801] 1 [5:16:1]
5952z (1 curve)	1	2- 3+ 31-	2- 3+ -3 -5  4  2 -8  1
Curve Equation t Generators 5952z1 [0,-1,0,3743,202969] 1 [64:837:1]
5952ba (2 curves)	1	2- 3- 31+	2- 3- -1  2 -3  1  3 -5
Curve Equation t Generators 5952ba1 [0,1,0,959,-3649] 1 [47:384:1] 5952ba2 [0,1,0,-89281,10243391] 1 [175:96:1]
5952bb (2 curves)	1	2- 3- 31+	2- 3-  2 -4  0 -2  0  4
Curve Equation t Generators 5952bb1 [0,1,0,-37,-133] 2 [2514:24335:27] 5952bb2 [0,1,0,-657,-6705] 2 [35:120:1]
5952bc (1 curve)	1	2- 3- 31+	2- 3-  3 -1 -6  0 -4 -3
Curve Equation t Generators 5952bc1 [0,1,0,31,-681] 1 [10:27:1]
5952bd (2 curves)	1	2- 3- 31+	2- 3- -3  1  0 -2  0 -1
Curve Equation t Generators 5952bd1 [0,1,0,-12217,542399] 1 [50:243:1] 5952bd2 [0,1,0,-1003657,386679119] 1 [578:3:1]
5952be (1 curve)	0	2- 3- 31-	2- 3-  1  3 -4  2  0  1
Curve Equation t 5952be1 [0,1,0,-385,-3049] 1
5952bf (4 curves)	0	2- 3- 31-	2- 3-  2  0  4  2  6  4
Curve Equation t 5952bf1 [0,1,0,-1117,14003] 2 5952bf2 [0,1,0,-1137,13455] 4 5952bf3 [0,1,0,-3617,-68385] 2 5952bf4 [0,1,0,1023,60543] 2
5952bg (1 curve)	0	2- 3- 31-	2- 3-  3  5  2  4 -4 -5
Curve Equation t 5952bg1 [0,1,0,-9,-81] 1
5952bh (1 curve)	0	2- 3- 31-	2- 3- -3  2  5  7 -1  7
Curve Equation t 5952bh1 [0,1,0,-1057,13151] 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