Cremona's table of elliptic curves

34385 = 5 · 13 · 23²

Class	r	Atkin-Lehner	Eigenvalues
34385a (1 curve)	0	5+ 13+ 23-	0  0 5+  2  1 13+  2  7
Curve Equation t 34385a1 [0,0,1,-32798,-2286206] 1
34385b (3 curves)	1	5+ 13- 23-	0 -2 5+  1  0 13- -3 -2
Curve Equation t Generators 34385b1 [0,1,1,-309641,-83767449] 1 [109055:2204016:125] 34385b2 [0,1,1,2335359,793645176] 1 [6846:581106:1] 34385b3 [0,1,1,-46835191,125449482521] 1 [63738:4064303:8]
34385c (2 curves)	1	5+ 13- 23-	1  0 5+  2  2 13-  0  2
Curve Equation t Generators 34385c1 [1,-1,0,200,-1389] 2 [2932:19009:64] 34385c2 [1,-1,0,-1295,-13050] 2 [-146754:399563:5832]
34385d (1 curve)	1	5+ 13- 23-	1  1 5+ -1  6 13-  3  4
Curve Equation t Generators 34385d1 [1,0,1,-6624,-174453] 1 [-5655:25512:125]
34385e (1 curve)	1	5+ 13- 23-	-2 -2 5+  2  3 13-  6  1
Curve Equation t Generators 34385e1 [0,1,1,-80127806,266181211956] 1 [6325:111572:1]
34385f (1 curve)	1	5+ 13- 23-	-2 -2 5+  4  3 13-  0  5
Curve Equation t Generators 34385f1 [0,1,1,-68946,-6710664] 1 [705:17192:1]
34385g (1 curve)	1	5- 13+ 23-	0  0 5- -2 -1 13+ -2 -7
Curve Equation t Generators 34385g1 [0,0,1,-17350142,27816265360] 1 [18770:39465:8]
34385h (1 curve)	1	5- 13+ 23-	-1  1 5-  1 -2 13+ -5  0
Curve Equation t Generators 34385h1 [1,0,0,-582440,-171137863] 1 [-30403427:16813841:68921]
34385i (2 curves)	1	5- 13+ 23-	-1 -2 5-  4 -2 13+ -2  6
Curve Equation t Generators 34385i1 [1,0,0,-540,-1073] 2 [167:2055:1] 34385i2 [1,0,0,2105,-7950] 2 [7:81:1]
34385j (1 curve)	1	5- 13+ 23-	-1  3 5- -1 -2 13+  3 -4
Curve Equation t Generators 34385j1 [1,-1,1,-14522472,8674527196] 1 [-10878:3252163:27]
34385k (2 curves)	0	5- 13- 23-	1  0 5- -2 -2 13-  0 -2
Curve Equation t 34385k1 [1,-1,0,105701,16265568] 2 34385k2 [1,-1,0,-685154,162890085] 2
34385l (1 curve)	2	5- 13- 23-	-2 -2 5- -2 -3 13- -6 -1
Curve Equation t Generators 34385l1 [0,1,1,-151470,-21929994] 1 [2085:-93438:1]&[-255:422:1]
34385m (1 curve)	2	5- 13- 23-	-2 -2 5- -4 -3 13-  0 -5
Curve Equation t Generators 34385m1 [0,1,1,-130,506] 1 [-5:-33:1]&[-7:33:1]

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