Cremona's table of elliptic curves

78213 = 3 · 29² · 31

Class	r	Atkin-Lehner	Eigenvalues
78213a (2 curves)	1	3+ 29+ 31+	0 3+  0 -1  0  2  6  1
Curve Equation t Generators 78213a1 [0,-1,1,-1063,15015] 1 [35:139:1] 78213a2 [0,-1,1,6767,-29616] 1 [96650:1734961:15625]
78213b (1 curve)	2	3+ 29+ 31-	-1 3+  0 -2 -5 -4 -4  3
Curve Equation t Generators 78213b1 [1,1,1,12177,1567014] 1 [-52:918:1]&[2:1260:1]
78213c (1 curve)	0	3+ 29- 31+	0 3+  0 -5 -2 -2 -2 -5
Curve Equation t 78213c1 [0,-1,1,569077,-39830173] 1
78213d (1 curve)	1	3+ 29- 31-	1 3+  1  2  0  2  5  1
Curve Equation t Generators 78213d1 [1,1,0,-78242452,-266418845903] 1 [-1901535789791171041070748308392:955434396166869586332887132753:372312594094686440047445683]
78213e (2 curves)	1	3+ 29- 31-	1 3+ -2 -4  0  2 -4  4
Curve Equation t Generators 78213e1 [1,1,0,-46,79] 2 [-42:137:8] 78213e2 [1,1,0,99,630] 2 [2:-30:1]
78213f (1 curve)	1	3+ 29- 31-	-1 3+  3  0 -4  4 -3  7
Curve Equation t Generators 78213f1 [1,1,1,-119,434] 1 [2:13:1]
78213g (1 curve)	1	3- 29+ 31-	0 3-  0 -5  2 -2  2  5
Curve Equation t Generators 78213g1 [0,1,1,677,-1400] 1 [32:232:1]
78213h (1 curve)	1	3- 29- 31+	1 3-  3  0  4  4  3 -7
Curve Equation t Generators 78213h1 [1,0,1,-100097,11790317] 1 [5460:123199:64]
78213i (1 curve)	1	3- 29- 31+	-1 3-  1  2  0  2 -5 -1
Curve Equation t Generators 78213i1 [1,0,0,-93035,-10930146] 1 [-11276:5641:64]
78213j (2 curves)	1	3- 29- 31+	-1 3- -2 -4  0  2  4 -4
Curve Equation t Generators 78213j1 [1,0,0,-39124,2394455] 2 [2100787:-64706669:2197] 78213j2 [1,0,0,82821,14369454] 2 [3789:232047:1]
78213k (2 curves)	0	3- 29- 31-	0 3-  0 -1  0  2 -6 -1
Curve Equation t 78213k1 [0,1,1,-894263,357265202] 3 78213k2 [0,1,1,5690767,-665389957] 1

Data from Elliptic Curve Data by J. E. Cremona.
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