Cremona's table of elliptic curves

23450 = 2 · 5² · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
23450a (3 curves)	1	2+ 5+ 7+ 67+	2+ -1 5+ 7+ -6 -5 -6  2
Curve Equation t Generators 23450a1 [1,1,0,-4475,92125] 1 [6:253:1] 23450a2 [1,1,0,-108475,-13787875] 1 [-194:141:1] 23450a3 [1,1,0,-8784975,-10025765375] 1 [-11926567924:5963296711:6967871]
23450b (1 curve)	1	2+ 5+ 7+ 67+	2+ -2 5+ 7+  1  2  4 -4
Curve Equation t Generators 23450b1 [1,0,1,-11,-12] 1 [-2:2:1]
23450c (2 curves)	0	2+ 5+ 7+ 67-	2+  0 5+ 7+  0 -2  0  0
Curve Equation t 23450c1 [1,-1,0,-292,-6384] 2 23450c2 [1,-1,0,-7292,-237384] 2
23450d (1 curve)	0	2+ 5+ 7+ 67-	2+  1 5+ 7+ -4  3  0  4
Curve Equation t 23450d1 [1,0,1,-1401,-14052] 1
23450e (4 curves)	0	2+ 5+ 7- 67+	2+  0 5+ 7-  4  2  6 -4
Curve Equation t 23450e1 [1,-1,0,-2389667,1431422741] 2 23450e2 [1,-1,0,-38301667,91247334741] 4 23450e3 [1,-1,0,-38368667,90912133741] 2 23450e4 [1,-1,0,-612826667,5839369959741] 2
23450f (2 curves)	0	2+ 5+ 7- 67+	2+  2 5+ 7-  0 -2  2  4
Curve Equation t 23450f1 [1,1,0,3350,0] 2 23450f2 [1,1,0,-13400,-16750] 2
23450g (2 curves)	0	2+ 5- 7+ 67+	2+  0 5- 7+ -6  2  2  4
Curve Equation t 23450g1 [1,-1,0,-416857,130582701] 2 23450g2 [1,-1,0,-7139657,7344147101] 2
23450h (1 curve)	2	2+ 5- 7+ 67+	2+ -2 5- 7+  2 -2 -3 -3
Curve Equation t Generators 23450h1 [1,0,1,424,-702] 1 [1224:8407:512]&[11:67:1]
23450i (1 curve)	1	2+ 5- 7+ 67-	2+  0 5- 7+  1 -2  0 -4
Curve Equation t Generators 23450i1 [1,-1,0,-6242,160916] 1 [25:129:1]
23450j (4 curves)	0	2- 5+ 7+ 67+	2-  0 5+ 7+  0 -2 -2 -4
Curve Equation t 23450j1 [1,-1,1,-1255,-16753] 2 23450j2 [1,-1,1,-1755,-1753] 4 23450j3 [1,-1,1,6995,-19253] 2 23450j4 [1,-1,1,-18505,969747] 2
23450k (1 curve)	0	2- 5+ 7+ 67+	2- -1 5+ 7+  2  7  2 -2
Curve Equation t 23450k1 [1,1,1,-88,-219] 1
23450l (2 curves)	0	2- 5+ 7+ 67+	2-  2 5+ 7+ -4 -2  2 -8
Curve Equation t 23450l1 [1,1,1,-9113,1701031] 2 23450l2 [1,1,1,-277113,55837031] 2
23450m (2 curves)	0	2- 5+ 7+ 67+	2- -2 5+ 7+  4  2 -6 -4
Curve Equation t 23450m1 [1,0,0,-2188,-217008] 2 23450m2 [1,0,0,-69188,-6984008] 2
23450n (1 curve)	1	2- 5+ 7- 67+	2-  0 5+ 7-  1  2  0 -4
Curve Equation t Generators 23450n1 [1,-1,1,-250,1337] 1 [5:11:1]
23450o (1 curve)	0	2- 5+ 7- 67-	2-  2 5+ 7-  2  2  3 -3
Curve Equation t 23450o1 [1,1,1,17,1] 1
23450p (2 curves)	1	2- 5- 7- 67-	2-  0 5- 7- -6 -2 -2  4
Curve Equation t Generators 23450p1 [1,-1,1,-10421430,16312416197] 2 [2343:67771:1] 23450p2 [1,-1,1,-178491430,917839896197] 2 [-11181:1236715:1]
23450q (1 curve)	1	2- 5- 7- 67-	2-  2 5- 7-  1 -2 -4 -4
Curve Equation t Generators 23450q1 [1,1,1,-263,-1469] 1 [-460:873:64]

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