Cremona's table of elliptic curves

10650 = 2 · 3 · 5² · 71

Class	r	Atkin-Lehner	Eigenvalues
10650a (2 curves)	1	2+ 3+ 5+ 71+	2+ 3+ 5+ -2  2  6  0  4
Curve Equation t Generators 10650a1 [1,1,0,250,0] 2 [5:35:1] 10650a2 [1,1,0,-1000,-1250] 2 [-19:116:1]
10650b (2 curves)	1	2+ 3+ 5+ 71+	2+ 3+ 5+ -2 -6 -2  0  4
Curve Equation t Generators 10650b1 [1,1,0,-22367437750,-1288008365187500] 2 [9954777666925646343390691227904779151650346640768959505:8491443923777367183809698069094721205753070767241766046160:13096330337724491226495899648620742698045445462081] 10650b2 [1,1,0,-357911757750,-82416249599107500] 2 [6038912457188704006206011227408681937754307460376840918197284706987774011321557096475372720851973560036562905945:3606319879689577934769837062588520214536375530834060691718874902532707578926195475649329730707650566473508862940240:6906641437080255974084364292371134604503739593650428244596023179010637156365088061761205366896497676002569]
10650c (4 curves)	1	2+ 3+ 5+ 71+	2+ 3+ 5+  4  0 -2 -6  4
Curve Equation t Generators 10650c1 [1,1,0,625,7125] 2 [-5:65:1] 10650c2 [1,1,0,-3875,65625] 4 [1:248:1] 10650c3 [1,1,0,-22625,-1265625] 2 [205:1560:1] 10650c4 [1,1,0,-57125,5230875] 2 [151:201:1]
10650d (2 curves)	0	2+ 3+ 5+ 71-	2+ 3+ 5+ -3 -3  6  2  5
Curve Equation t 10650d1 [1,1,0,-500,6000] 1 10650d2 [1,1,0,-5750,-650250] 1
10650e (1 curve)	0	2+ 3+ 5- 71+	2+ 3+ 5-  2 -1  2  7  5
Curve Equation t 10650e1 [1,1,0,-1450,-3500] 1
10650f (2 curves)	1	2+ 3+ 5- 71-	2+ 3+ 5-  2 -3  6 -3  5
Curve Equation t Generators 10650f1 [1,1,0,-26375,-1621275] 1 [-86:185:1] 10650f2 [1,1,0,-2090700,1162674000] 1 [824:100:1]
10650g (4 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+  0  0  6  6 -4
Curve Equation t 10650g1 [1,0,1,6124,-3415102] 2 10650g2 [1,0,1,-306376,-63415102] 4 10650g3 [1,0,1,-4862626,-4127590102] 2 10650g4 [1,0,1,-750126,162009898] 2
10650h (4 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+  4  0  2  2  4
Curve Equation t 10650h1 [1,0,1,-13001,619148] 2 10650h2 [1,0,1,-213001,37819148] 4 10650h3 [1,0,1,-218001,35949148] 2 10650h4 [1,0,1,-3408001,2421289148] 2
10650i (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+  4  3  2 -1 -5
Curve Equation t 10650i1 [1,0,1,-110326,-14112952] 1
10650j (4 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  0 -4 -2 -2  4
Curve Equation t Generators 10650j1 [1,0,1,-5126,-141352] 2 [-42:37:1] 10650j2 [1,0,1,-7126,-21352] 4 [-74:356:1] 10650j3 [1,0,1,-74626,7808648] 2 [-278:2801:1] 10650j4 [1,0,1,28374,-163352] 2 [107:1971:1]
10650k (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+  1  4 -2 -5  2
Curve Equation t Generators 10650k1 [1,0,1,2380014,942026788] 1 [173:36777:1]
10650l (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2  2  0  0 -4
Curve Equation t Generators 10650l1 [1,0,1,-2276,105698] 2 [72:526:1] 10650l2 [1,0,1,-50276,4329698] 2 [-34:2466:1]
10650m (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+ -2 -2  4  4 -4
Curve Equation t Generators 10650m1 [1,0,1,474,-13052] 2 [32:171:1] 10650m2 [1,0,1,-6276,-175052] 2 [-52:132:1]
10650n (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+ -4  5  6 -3 -1
Curve Equation t Generators 10650n1 [1,0,1,-301,1028] 1 [1:26:1]
10650o (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5-  1  0  6  5 -6
Curve Equation t Generators 10650o1 [1,0,1,-76,398] 1 [7:-19:1]
10650p (1 curve)	0	2+ 3- 5- 71-	2+ 3- 5-  4 -4  1  2  4
Curve Equation t 10650p1 [1,0,1,-794576,-276303202] 1
10650q (2 curves)	0	2+ 3- 5- 71-	2+ 3- 5- -4  4 -2  0 -8
Curve Equation t 10650q1 [1,0,1,-236,-982] 2 10650q2 [1,0,1,-3436,-77782] 2
10650r (2 curves)	0	2- 3+ 5+ 71+	2- 3+ 5+  1  3 -2  6  5
Curve Equation t 10650r1 [1,1,1,-575163,167710281] 1 10650r2 [1,1,1,366462,644294031] 1
10650s (1 curve)	0	2- 3+ 5+ 71+	2- 3+ 5+ -1  0 -6 -5 -6
Curve Equation t 10650s1 [1,1,1,-1888,49781] 1
10650t (2 curves)	0	2- 3+ 5+ 71+	2- 3+ 5+  2  0  6  4  0
Curve Equation t 10650t1 [1,1,1,-9963,-391719] 2 10650t2 [1,1,1,-159963,-24691719] 2
10650u (4 curves)	0	2- 3+ 5+ 71+	2- 3+ 5+ -2  6 -2  0 -4
Curve Equation t 10650u1 [1,1,1,-60713,5744531] 2 10650u2 [1,1,1,-971963,368422031] 2 10650u3 [1,1,1,111412,29092781] 2 10650u4 [1,1,1,-1013588,335092781] 2
10650v (2 curves)	1	2- 3+ 5+ 71-	2- 3+ 5+  2 -4 -4  4  4
Curve Equation t Generators 10650v1 [1,1,1,-1463,22781] 2 [5:122:1] 10650v2 [1,1,1,-23963,1417781] 2 [71:248:1]
10650w (4 curves)	1	2- 3+ 5+ 71-	2- 3+ 5+ -2  0  4  0 -4
Curve Equation t Generators 10650w1 [1,1,1,-299588,-219244219] 2 [815:8467:1] 10650w2 [1,1,1,-7589588,-8034124219] 2 [-1549:3685:1] 10650w3 [1,1,1,-38399963,-91605509719] 2 [12155:1106422:1] 10650w4 [1,1,1,-614399963,-5861973509719] 2 [35195:3996302:1]
10650x (1 curve)	1	2- 3+ 5+ 71-	2- 3+ 5+ -4 -4 -1 -2  4
Curve Equation t Generators 10650x1 [1,1,1,-31783,-2223139] 1 [299:3738:1]
10650y (1 curve)	1	2- 3+ 5- 71+	2- 3+ 5- -4  3 -2  1 -5
Curve Equation t Generators 10650y1 [1,1,1,-4413,-114669] 1 [-39:20:1]
10650z (1 curve)	0	2- 3+ 5- 71-	2- 3+ 5- -1  4  2  5  2
Curve Equation t 10650z1 [1,1,1,59500362,117753348531] 1
10650ba (2 curves)	0	2- 3+ 5- 71-	2- 3+ 5-  4  4  2  0 -8
Curve Equation t 10650ba1 [1,1,1,-5888,-122719] 2 10650ba2 [1,1,1,-85888,-9722719] 2
10650bb (1 curve)	0	2- 3+ 5- 71-	2- 3+ 5-  4  5 -6  3 -1
Curve Equation t 10650bb1 [1,1,1,-7513,128531] 1
10650bc (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  2 -2 -2 -4 -4
Curve Equation t Generators 10650bc1 [1,0,0,1662,68292] 2 [12:294:1] 10650bc2 [1,0,0,-18338,848292] 2 [322:-5486:1]
10650bd (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+ -2 -1 -2 -7  5
Curve Equation t Generators 10650bd1 [1,0,0,-58,-28] 1 [-4:14:1]
10650be (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -2 -2  0  0 -4
Curve Equation t Generators 10650be1 [1,0,0,-7163,236817] 2 [82:-491:1] 10650be2 [1,0,0,-115163,15032817] 2 [178:337:1]
10650bf (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -2 -6 -4  8  4
Curve Equation t Generators 10650bf1 [1,0,0,-122688,-27667008] 2 [612:10944:1] 10650bf2 [1,0,0,-2309688,-1350802008] 2 [-882:1080:1]
10650bg (2 curves)	0	2- 3- 5+ 71-	2- 3- 5+ -2 -3 -6  3  5
Curve Equation t 10650bg1 [1,0,0,-83628,9301392] 5 10650bg2 [1,0,0,-659388,-201340608] 1
10650bh (2 curves)	0	2- 3- 5+ 71-	2- 3- 5+  4 -6  6  6 -4
Curve Equation t 10650bh1 [1,0,0,-213,1917] 2 10650bh2 [1,0,0,-3963,95667] 2

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