Cremona's table of elliptic curves

25970 = 2 · 5 · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
25970a (1 curve)	1	2+ 5+ 7+ 53+	2+  0 5+ 7+  3  1  7  0
Curve Equation t Generators 25970a1 [1,-1,0,-12455,-327699] 1 [233:-3179:1]
25970b (1 curve)	0	2+ 5+ 7+ 53-	2+ -1 5+ 7+  6 -4 -6  0
Curve Equation t 25970b1 [1,1,0,-272345308,1730680770512] 1
25970c (2 curves)	0	2+ 5+ 7- 53+	2+  2 5+ 7-  3  1 -3 -8
Curve Equation t 25970c1 [1,1,0,-685205833,-6903950216127] 1 25970c2 [1,1,0,-692108708,-6757753866352] 1
25970d (1 curve)	2	2+ 5+ 7- 53+	2+ -2 5+ 7- -5 -3 -3  0
Curve Equation t Generators 25970d1 [1,0,1,-89,312] 1 [6:-6:1]&[-1:20:1]
25970e (1 curve)	0	2+ 5+ 7- 53+	2+  3 5+ 7- -6  3  5  5
Curve Equation t 25970e1 [1,-1,0,-2410,-61384] 1
25970f (1 curve)	0	2+ 5+ 7- 53+	2+ -3 5+ 7-  3  6  2  2
Curve Equation t 25970f1 [1,-1,0,-66040,6548800] 1
25970g (2 curves)	1	2+ 5+ 7- 53-	2+  0 5+ 7-  0  2  6  2
Curve Equation t Generators 25970g1 [1,-1,0,-205,405] 2 [-82:335:8] 25970g2 [1,-1,0,775,2561] 2 [10:-111:1]
25970h (1 curve)	1	2+ 5+ 7- 53-	2+  2 5+ 7- -2 -4 -4 -4
Curve Equation t Generators 25970h1 [1,1,0,-307108,65491812] 1 [-18:8436:1]
25970i (2 curves)	1	2+ 5+ 7- 53-	2+ -2 5+ 7-  0 -4 -4 -2
Curve Equation t Generators 25970i1 [1,0,1,-404,-5694] 2 [53:-377:1] 25970i2 [1,0,1,-7824,-266878] 2 [-52:29:1]
25970j (1 curve)	1	2+ 5+ 7- 53-	2+  3 5+ 7-  0 -1 -3 -1
Curve Equation t Generators 25970j1 [1,-1,0,60065,-10609075] 1 [6186:101963:27]
25970k (1 curve)	0	2+ 5- 7+ 53+	2+  2 5- 7+ -5  3  3  0
Curve Equation t 25970k1 [1,1,0,-4337,-111439] 1
25970l (2 curves)	0	2+ 5- 7+ 53+	2+ -2 5- 7+  3 -1  3  8
Curve Equation t 25970l1 [1,0,1,-13983793,20126137056] 3 25970l2 [1,0,1,-14124668,19699888506] 1
25970m (1 curve)	0	2+ 5- 7+ 53+	2+  3 5- 7+  3 -6 -2 -2
Curve Equation t 25970m1 [1,-1,0,-3235969,-2239766467] 1
25970n (1 curve)	1	2+ 5- 7+ 53-	2+ -2 5- 7+ -2  4  4  4
Curve Equation t Generators 25970n1 [1,0,1,-15048318,-22508836444] 1 [8285:-653393:1]
25970o (1 curve)	1	2+ 5- 7- 53+	2+  0 5- 7-  3 -1 -7  0
Curve Equation t Generators 25970o1 [1,-1,0,-254,1028] 1 [-8:54:1]
25970p (1 curve)	0	2+ 5- 7- 53-	2+  1 5- 7-  6  4  6  0
Curve Equation t 25970p1 [1,0,1,-5558068,-5046510542] 1
25970q (2 curves)	2	2+ 5- 7- 53-	2+ -1 5- 7-  0 -5 -3 -5
Curve Equation t Generators 25970q1 [1,1,0,-662,63736] 1 [-43:144:1]&[-18:274:1] 25970q2 [1,1,0,-143497,20863109] 1 [218:-129:1]&[-22:4911:1]
25970r (2 curves)	0	2+ 5- 7- 53-	2+  2 5- 7-  0  4  4  2
Curve Equation t 25970r1 [1,1,0,-19772,1933184] 2 25970r2 [1,1,0,-383352,91155716] 2
25970s (2 curves)	0	2- 5+ 7+ 53+	2-  1 5+ 7+  3  2  6  2
Curve Equation t 25970s1 [1,0,0,-246,1700] 3 25970s2 [1,0,0,1714,-8884] 1
25970t (1 curve)	0	2- 5+ 7+ 53+	2-  2 5+ 7+  2  4  0  4
Curve Equation t 25970t1 [1,1,1,-26951,1691773] 1
25970u (1 curve)	2	2- 5+ 7+ 53+	2- -2 5+ 7+ -1 -5 -1 -8
Curve Equation t Generators 25970u1 [1,0,0,-491,3121] 1 [46:-303:1]&[-20:81:1]
25970v (2 curves)	0	2- 5- 7- 53+	2- -1 5- 7-  3 -2 -6 -2
Curve Equation t 25970v1 [1,1,1,-12055,-595155] 1 25970v2 [1,1,1,83985,3131197] 1
25970w (1 curve)	0	2- 5- 7- 53+	2-  2 5- 7- -1  5  1  8
Curve Equation t 25970w1 [1,1,1,-24060,-1094563] 1
25970x (1 curve)	0	2- 5- 7- 53+	2- -2 5- 7-  2 -4  0 -4
Curve Equation t 25970x1 [1,0,0,-1320600,-584240000] 1
25970y (1 curve)	1	2- 5- 7- 53-	2-  1 5- 7- -4  3  1  1
Curve Equation t Generators 25970y1 [1,0,0,440,-3200] 1 [60:460:1]

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