Cremona's table of elliptic curves

18135 = 3² · 5 · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
18135a (1 curve)	1	3+ 5+ 13+ 31+	2 3+ 5+ -1  3 13+  7 -8
Curve Equation t Generators 18135a1 [0,0,1,87,-7] 1 [2:27:8]
18135b (1 curve)	1	3+ 5+ 13+ 31+	-2 3+ 5+  5  6 13+ -4 -2
Curve Equation t Generators 18135b1 [0,0,1,-8883,-195676] 1 [-63:337:1]
18135c (1 curve)	0	3+ 5+ 13+ 31-	2 3+ 5+ -1  2 13+  8  6
Curve Equation t 18135c1 [0,0,1,-1863,-29491] 1
18135d (1 curve)	0	3+ 5- 13+ 31+	2 3+ 5-  5 -6 13+  4 -2
Curve Equation t 18135d1 [0,0,1,-987,7247] 1
18135e (1 curve)	2	3+ 5- 13+ 31+	-2 3+ 5- -1 -3 13+ -7 -8
Curve Equation t Generators 18135e1 [0,0,1,783,182] 1 [0:13:1]&[7:77:1]
18135f (1 curve)	1	3+ 5- 13+ 31-	-2 3+ 5- -1 -2 13+ -8  6
Curve Equation t Generators 18135f1 [0,0,1,-207,1092] 1 [-10:46:1]
18135g (1 curve)	0	3- 5+ 13+ 31+	2 3- 5+ -4  6 13+  1  1
Curve Equation t 18135g1 [0,0,1,-1143,-14911] 1
18135h (1 curve)	1	3- 5+ 13+ 31-	2 3- 5+  2  5 13+ -4 -2
Curve Equation t Generators 18135h1 [0,0,1,87,-1931] 1 [962:10571:8]
18135i (1 curve)	1	3- 5+ 13- 31+	-2 3- 5+  2 -5 13-  0  2
Curve Equation t Generators 18135i1 [0,0,1,170187,610263018] 1 [836:36562:1]
18135j (1 curve)	0	3- 5+ 13- 31-	2 3- 5+ -3  2 13- -2 -4
Curve Equation t 18135j1 [0,0,1,-633,4113] 1
18135k (1 curve)	0	3- 5- 13+ 31-	0 3- 5- -3  3 13+  1  6
Curve Equation t 18135k1 [0,0,1,-896625012,10335170988265] 1
18135l (4 curves)	0	3- 5- 13+ 31-	-1 3- 5-  4  4 13+  6  4
Curve Equation t 18135l1 [1,-1,1,-302,-1596] 2 18135l2 [1,-1,1,-1427,19554] 4 18135l3 [1,-1,1,-22352,1291794] 2 18135l4 [1,-1,1,1498,87414] 2
18135m (1 curve)	0	3- 5- 13+ 31-	2 3- 5- -5 -2 13+ -6  4
Curve Equation t 18135m1 [0,0,1,-58107,5011357] 1
18135n (1 curve)	0	3- 5- 13+ 31-	-2 3- 5-  2  1 13+  4 -6
Curve Equation t 18135n1 [0,0,1,-725521287,7572431010222] 1
18135o (1 curve)	2	3- 5- 13- 31+	0 3- 5- -5 -1 13- -5 -6
Curve Equation t Generators 18135o1 [0,0,1,-32592,4839255] 1 [-127:2632:1]&[-75:2619:1]
18135p (4 curves)	0	3- 5- 13- 31+	-1 3- 5-  0  0 13-  2  4
Curve Equation t 18135p1 [1,-1,1,-2102,-23524] 4 18135p2 [1,-1,1,-30227,-2014774] 4 18135p3 [1,-1,1,-483602,-129322474] 2 18135p4 [1,-1,1,-26852,-2484574] 2
18135q (3 curves)	1	3- 5- 13- 31-	0 3- 5- -1  3 13-  3  2
Curve Equation t Generators 18135q1 [0,0,1,-33963582,-76184802225] 1 [62674:2977961:8] 18135q2 [0,0,1,-33822642,-76848435468] 3 [6842:109687:1] 18135q3 [0,0,1,131459748,-366945002865] 3 [195874:33494621:8]
18135r (3 curves)	1	3- 5- 13- 31-	0 3- 5- -1 -6 13- -6  2
Curve Equation t Generators 18135r1 [0,0,1,-5502,-156870] 1 [-350:77:8] 18135r2 [0,0,1,-22512,1147797] 3 [-163:697:1] 18135r3 [0,0,1,-1763472,901365570] 3 [-982:41062:1]
18135s (2 curves)	1	3- 5- 13- 31-	0 3- 5-  2  0 13- -3 -7
Curve Equation t Generators 18135s1 [0,0,1,-282,-6768] 1 [30:108:1] 18135s2 [0,0,1,2508,170955] 3 [-15:360:1]
18135t (2 curves)	1	3- 5- 13- 31-	0 3- 5- -4 -3 13-  0  2
Curve Equation t Generators 18135t1 [0,0,1,348,3177] 1 [77:697:1] 18135t2 [0,0,1,-10812,434790] 3 [-82:877:1]
18135u (4 curves)	1	3- 5- 13- 31-	-1 3- 5-  0 -4 13- -2 -4
Curve Equation t Generators 18135u1 [1,-1,1,-167702,-31503796] 2 [37884:1329437:27] 18135u2 [1,-1,1,-2824907,-1826711494] 4 [5616:396454:1] 18135u3 [1,-1,1,-45198032,-116946017494] 2 [2717253:49655542:343] 18135u4 [1,-1,1,-2967062,-1632584626] 4 [-1218:13771:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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