Cremona's table of elliptic curves

101616 = 2⁴ · 3 · 29 · 73

Class	r	Atkin-Lehner	Eigenvalues
101616a (1 curve)	0	2+ 3+ 29+ 73-	2+ 3+  2 -1 -3  3 -3 -2
Curve Equation t 101616a1 [0,-1,0,368,-2393] 1
101616b (2 curves)	0	2+ 3+ 29- 73+	2+ 3+  2  2 -2  4  0 -4
Curve Equation t 101616b1 [0,-1,0,-21112,1184128] 2 101616b2 [0,-1,0,-30832,-5600] 2
101616c (2 curves)	1	2+ 3- 29+ 73-	2+ 3-  2  2  2 -2 -2 -4
Curve Equation t Generators 101616c1 [0,1,0,-19492,1031708] 2 [122:696:1] 101616c2 [0,1,0,-4912,2553860] 2 [143:2190:1]
101616d (1 curve)	1	2+ 3- 29+ 73-	2+ 3- -4  1  3  5 -5 -4
Curve Equation t Generators 101616d1 [0,1,0,460,28599] 1 [21:219:1]
101616e (1 curve)	1	2+ 3- 29- 73+	2+ 3- -2  0  5  2 -3  0
Curve Equation t Generators 101616e1 [0,1,0,-89,-93] 1 [-2:9:1]
101616f (1 curve)	0	2- 3+ 29+ 73+	2- 3+ -3  2  4  0 -3  7
Curve Equation t 101616f1 [0,-1,0,-14997,-702819] 1
101616g (1 curve)	0	2- 3+ 29+ 73+	2- 3+ -3 -2  4  6  7 -5
Curve Equation t 101616g1 [0,-1,0,-717,-29439] 1
101616h (1 curve)	1	2- 3+ 29+ 73-	2- 3+ -1  0  4 -6 -5  5
Curve Equation t Generators 101616h1 [0,-1,0,-28141,6145009] 1 [120:2117:1]
101616i (4 curves)	1	2- 3+ 29+ 73-	2- 3+  2 -4 -4 -2 -2 -4
Curve Equation t Generators 101616i1 [0,-1,0,-32752,-1443392] 2 [-54:406:1] 101616i2 [0,-1,0,-217072,37927360] 4 [3882:240170:1] 101616i3 [0,-1,0,63248,128751040] 2 [483330:30147586:125] 101616i4 [0,-1,0,-3446512,2463882688] 4 [418219254:24110047990:103823]
101616j (1 curve)	1	2- 3+ 29+ 73-	2- 3+  3 -4 -4 -2 -5 -7
Curve Equation t Generators 101616j1 [0,-1,0,-66189,7037217] 1 [-278:24389:8]
101616k (1 curve)	2	2- 3+ 29- 73-	2- 3+  0  2 -1 -2 -5 -4
Curve Equation t Generators 101616k1 [0,-1,0,-4453,-77015] 1 [-47:162:1]&[-31:174:1]
101616l (1 curve)	1	2- 3- 29+ 73+	2- 3- -1  3 -6 -2  7  1
Curve Equation t Generators 101616l1 [0,1,0,-116096,33535668] 1 [394:7008:1]
101616m (2 curves)	1	2- 3- 29+ 73+	2- 3- -2 -4  0 -4 -4  0
Curve Equation t Generators 101616m1 [0,1,0,-95617504,-331425356428] 2 [-6481:126846:1] 101616m2 [0,1,0,105936416,-1542925658764] 2 [11951:1195902:1]
101616n (1 curve)	1	2- 3- 29+ 73+	2- 3- -3  2  4  4 -3  5
Curve Equation t Generators 101616n1 [0,1,0,123,-801] 1 [18:87:1]
101616o (1 curve)	0	2- 3- 29+ 73-	2- 3- -2  1  3 -5 -3 -2
Curve Equation t 101616o1 [0,1,0,-4854,-131853] 1
101616p (2 curves)	0	2- 3- 29- 73+	2- 3-  2  4 -4 -4  0  0
Curve Equation t 101616p1 [0,1,0,-20432,1117332] 2 101616p2 [0,1,0,-19952,1172820] 2
101616q (1 curve)	1	2- 3- 29- 73-	2- 3-  3 -4  0  4 -3 -5
Curve Equation t Generators 101616q1 [0,1,0,-1189,87263] 1 [-49:174:1]
101616r (1 curve)	1	2- 3- 29- 73-	2- 3- -3  3  2  2 -3  5
Curve Equation t Generators 101616r1 [0,1,0,1448,-15724] 1 [116:1314:1]

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