Cremona's table of elliptic curves

30135 = 3 · 5 · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
30135a (1 curve)	1	3+ 5+ 7+ 41+	0 3+ 5+ 7+  0 -3  3 -4
Curve Equation t Generators 30135a1 [0,-1,1,-10061,-108004] 1 [-16:220:1]
30135b (1 curve)	1	3+ 5+ 7+ 41+	-2 3+ 5+ 7+ -4  5 -3  2
Curve Equation t Generators 30135b1 [0,-1,1,-135256,16342962] 1 [-212:5953:1]
30135c (4 curves)	0	3+ 5+ 7- 41+	-1 3+ 5+ 7-  0 -2 -6  0
Curve Equation t 30135c1 [1,1,1,-273666,42713838] 2 30135c2 [1,1,1,-4101791,3195557588] 4 30135c3 [1,1,1,-3826166,3643834088] 2 30135c4 [1,1,1,-65627416,204605843588] 2
30135d (6 curves)	0	3+ 5+ 7- 41+	-1 3+ 5+ 7-  4  2  6  4
Curve Equation t 30135d1 [1,1,1,-28666,-1263466] 2 30135d2 [1,1,1,-181791,28810284] 4 30135d3 [1,1,1,69334,102540584] 2 30135d4 [1,1,1,-2882916,1882862484] 4 30135d5 [1,1,1,-2857191,1918146894] 2 30135d6 [1,1,1,-46126641,120560941374] 2
30135e (6 curves)	0	3+ 5+ 7- 41+	-1 3+ 5+ 7- -4 -6  6 -4
Curve Equation t 30135e1 [1,1,1,-4152996,-3259275132] 2 30135e2 [1,1,1,-4153241,-3258871666] 4 30135e3 [1,1,1,-3661036,-4059787642] 2 30135e4 [1,1,1,-4649366,-2432128966] 4 30135e5 [1,1,1,13883659,-16969433776] 2 30135e6 [1,1,1,-31120391,65026631144] 2
30135f (1 curve)	0	3+ 5+ 7- 41+	2 3+ 5+ 7-  5  0 -3  2
Curve Equation t 30135f1 [0,-1,1,-16,6411] 1
30135g (1 curve)	0	3+ 5+ 7- 41+	2 3+ 5+ 7- -6  1 -3  6
Curve Equation t 30135g1 [0,-1,1,-926,-10543] 1
30135h (1 curve)	0	3+ 5+ 7- 41+	-2 3+ 5+ 7- -3  0  1  2
Curve Equation t 30135h1 [0,-1,1,181774,56360282] 1
30135i (2 curves)	1	3+ 5+ 7- 41-	0 3+ 5+ 7-  0  4  6 -5
Curve Equation t Generators 30135i1 [0,-1,1,-20841,2562986] 1 [-120:1822:1] 30135i2 [0,-1,1,-2203791,1259962031] 1 [861:-185:1]
30135j (1 curve)	1	3+ 5- 7+ 41-	-2 3+ 5- 7+  2 -3  5  2
Curve Equation t Generators 30135j1 [0,-1,1,-216890,36248918] 1 [-196:8437:1]
30135k (1 curve)	1	3+ 5- 7- 41+	0 3+ 5- 7- -1  4  3  6
Curve Equation t Generators 30135k1 [0,-1,1,3855,81038] 1 [-16:122:1]
30135l (2 curves)	1	3+ 5- 7- 41+	1 3+ 5- 7-  4  2 -4  4
Curve Equation t Generators 30135l1 [1,1,0,-66322,6544231] 2 [1086:1507:8] 30135l2 [1,1,0,-56277,8607474] 2 [-162:3756:1]
30135m (2 curves)	1	3+ 5- 7- 41+	-1 3+ 5- 7-  0 -2  0  0
Curve Equation t Generators 30135m1 [1,1,1,-2010,-2010] 2 [-42:123:1] 30135m2 [1,1,1,8035,-6028] 2 [62:-889:1]
30135n (1 curve)	1	3+ 5- 7- 41+	2 3+ 5- 7-  0  1 -3  0
Curve Equation t Generators 30135n1 [0,-1,1,-5000,127133] 1 [3716:10903:64]
30135o (1 curve)	1	3+ 5- 7- 41+	-2 3+ 5- 7- -2 -1 -4 -5
Curve Equation t Generators 30135o1 [0,-1,1,44000,4767258] 1 [174:4202:1]
30135p (2 curves)	0	3+ 5- 7- 41-	0 3+ 5- 7-  0  1  3  4
Curve Equation t 30135p1 [0,-1,1,-400883765,-3078961407712] 1 30135p2 [0,-1,1,-2133709475,35547503752781] 1
30135q (2 curves)	2	3+ 5- 7- 41-	0 3+ 5- 7- -6 -5  3 -8
Curve Equation t Generators 30135q1 [0,-1,1,-135,-547] 1 [-7:2:1]&[-54:23:8] 30135q2 [0,-1,1,-1395,20306] 1 [-40:102:1]&[90:-619:8]
30135r (2 curves)	0	3+ 5- 7- 41-	-1 3+ 5- 7- -2  4 -4  2
Curve Equation t 30135r1 [1,1,1,-902385,-330311010] 2 30135r2 [1,1,1,-871760,-353733010] 2
30135s (1 curve)	0	3+ 5- 7- 41-	2 3+ 5- 7-  4  1 -7  2
Curve Equation t 30135s1 [0,-1,1,-24810,1502381] 1
30135t (2 curves)	0	3- 5+ 7+ 41+	0 3- 5+ 7+  0 -1 -3 -4
Curve Equation t 30135t1 [0,1,1,-8181301,8974226356] 3 30135t2 [0,1,1,-43545091,-103649478635] 1
30135u (2 curves)	0	3- 5+ 7+ 41+	0 3- 5+ 7+ -6  5 -3  8
Curve Equation t 30135u1 [0,1,1,-6631,200785] 3 30135u2 [0,1,1,-68371,-6828314] 1
30135v (1 curve)	0	3- 5+ 7+ 41+	2 3- 5+ 7+  4 -1  7 -2
Curve Equation t 30135v1 [0,1,1,-506,-4525] 1
30135w (1 curve)	1	3- 5+ 7+ 41-	2 3- 5+ 7+  0 -1  3  0
Curve Equation t Generators 30135w1 [0,1,1,-245016,-43116685] 1 [-2790:1535:8]
30135x (1 curve)	1	3- 5+ 7+ 41-	-2 3- 5+ 7+ -2  1  4  5
Curve Equation t Generators 30135x1 [0,1,1,2155984,-1639481560] 1 [1039:41512:1]
30135y (4 curves)	1	3- 5+ 7- 41+	1 3- 5+ 7- -4 -6 -2  4
Curve Equation t Generators 30135y1 [1,0,1,-39569,-3032809] 2 [6303:15259:27] 30135y2 [1,0,1,-39814,-2993413] 4 [-906:2507:8] 30135y3 [1,0,1,6491,-9531679] 2 [5142:126491:8] 30135y4 [1,0,1,-90039,6067177] 2 [305:2493:1]
30135z (1 curve)	1	3- 5+ 7- 41+	-2 3- 5+ 7-  2  3 -5 -2
Curve Equation t Generators 30135z1 [0,1,1,-10627626,-12412123720] 1 [-1515:14620:1]
30135ba (1 curve)	0	3- 5+ 7- 41-	-2 3- 5+ 7-  3  4 -1 -6
Curve Equation t 30135ba1 [0,1,1,-483646,-129625940] 1
30135bb (1 curve)	0	3- 5- 7+ 41-	2 3- 5- 7+ -6 -1  3 -6
Curve Equation t 30135bb1 [0,1,1,-45390,3706931] 1
30135bc (2 curves)	0	3- 5- 7- 41+	-1 3- 5- 7-  0 -2  4  0
Curve Equation t 30135bc1 [1,0,0,-46600,-3873073] 2 30135bc2 [1,0,0,-36555,-5586750] 2
30135bd (1 curve)	1	3- 5- 7- 41-	0 3- 5- 7-  0  3 -3  4
Curve Equation t Generators 30135bd1 [0,1,1,-205,256] 1 [-10:37:1]
30135be (1 curve)	1	3- 5- 7- 41-	0 3- 5- 7- -3  0 -3 -2
Curve Equation t Generators 30135be1 [0,1,1,-18888585,31772349389] 1 [2991:-45203:1]
30135bf (2 curves)	1	3- 5- 7- 41-	1 3- 5- 7-  2  4  0 -2
Curve Equation t Generators 30135bf1 [1,0,1,-166038,26027131] 2 [1870:-639:8] 30135bf2 [1,0,1,-164813,26430401] 2 [-213:7309:1]
30135bg (2 curves)	1	3- 5- 7- 41-	-1 3- 5- 7-  2  0  0 -2
Curve Equation t Generators 30135bg1 [1,0,0,-295,1112] 2 [-1:38:1] 30135bg2 [1,0,0,930,8217] 2 [-3:75:1]
30135bh (1 curve)	1	3- 5- 7- 41-	-2 3- 5- 7- -4 -5  3 -2
Curve Equation t Generators 30135bh1 [0,1,1,-2760,-48436] 1 [-24:67:1]

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