Cremona's table of elliptic curves

5850 = 2 · 3² · 5² · 13

Class	r	Atkin-Lehner	Eigenvalues
5850a (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -2  6 13+  0 -1
Curve Equation t Generators 5850a1 [1,-1,0,-1992,-108584] 1 [125:1196:1] 5850a2 [1,-1,0,-245742,-46827334] 1 [116060125:-7239608714:29791]
5850b (4 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  4  0 13+  6 -4
Curve Equation t Generators 5850b1 [1,-1,0,2433,-36659] 2 [54:473:1] 5850b2 [1,-1,0,-12567,-321659] 2 [129:373:1] 5850b3 [1,-1,0,-56067,-5152159] 2 [1484:55633:1] 5850b4 [1,-1,0,-899817,-328308409] 2 [2160829:65306273:1331]
5850c (2 curves)	0	2+ 3+ 5+ 13-	2+ 3+ 5+  2  4 13-  0 -6
Curve Equation t 5850c1 [1,-1,0,-717,-14059] 2 5850c2 [1,-1,0,-14217,-648559] 2
5850d (1 curve)	0	2+ 3+ 5+ 13-	2+ 3+ 5+ -2 -2 13-  4 -3
Curve Equation t 5850d1 [1,-1,0,-312,-5824] 1
5850e (2 curves)	0	2+ 3+ 5+ 13-	2+ 3+ 5+ -2  4 13-  4  6
Curve Equation t 5850e1 [1,-1,0,3781308,-1679364784] 2 5850e2 [1,-1,0,-17818692,-14488164784] 2
5850f (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5-  2  2 13+  4 -3
Curve Equation t 5850f1 [1,-1,0,-867,27541] 1
5850g (2 curves)	1	2+ 3+ 5- 13-	2+ 3+ 5-  2 -6 13-  0 -1
Curve Equation t Generators 5850g1 [1,-1,0,-1092,14166] 3 [15:24:1] 5850g2 [1,-1,0,-717,23741] 1 [-17:184:1]
5850h (2 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  1 -3 13+  3 -4
Curve Equation t 5850h1 [1,-1,0,-5742,-168584] 1 5850h2 [1,-1,0,22383,-815459] 1
5850i (3 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  1 -6 13+ -3  2
Curve Equation t 5850i1 [1,-1,0,108,-734] 1 5850i2 [1,-1,0,-1017,25141] 1 5850i3 [1,-1,0,-103392,12822016] 1
5850j (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+ -2  0 13+  0  2
Curve Equation t 5850j1 [1,-1,0,899433,-12594659] 2 5850j2 [1,-1,0,-3600567,-98094659] 2 5850j3 [1,-1,0,-12009942,17283689716] 2 5850j4 [1,-1,0,-196329942,1058876009716] 2
5850k (2 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  4  0 13+  0  5
Curve Equation t 5850k1 [1,-1,0,108,9256] 1 5850k2 [1,-1,0,-30267,2034661] 1
5850l (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  4  6 13+ -6  2
Curve Equation t 5850l1 [1,-1,0,-7317,-237659] 2 5850l2 [1,-1,0,-2817,-530159] 2 5850l3 [1,-1,0,-46692,3739216] 2 5850l4 [1,-1,0,25308,14179216] 2
5850m (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+ -4  4 13+  2 -8
Curve Equation t 5850m1 [1,-1,0,-4392,-2337984] 2 5850m2 [1,-1,0,-292392,-60225984] 4 5850m3 [1,-1,0,-4666392,-3878727984] 2 5850m4 [1,-1,0,-526392,49988016] 2
5850n (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0  0 13- -6  0
Curve Equation t Generators 5850n1 [1,-1,0,-3042,-61884] 2 [-27:18:1] 5850n2 [1,-1,0,-7542,167616] 4 [-21:573:1] 5850n3 [1,-1,0,-108792,13836366] 2 [-51:4413:1] 5850n4 [1,-1,0,21708,1132866] 2 [109:2133:1]
5850o (1 curve)	1	2+ 3- 5+ 13-	2+ 3- 5+ -1  3 13-  1 -8
Curve Equation t Generators 5850o1 [1,-1,0,18,-284] 1 [8:14:1]
5850p (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  2 -4 13-  4 -2
Curve Equation t Generators 5850p1 [1,-1,0,-11817,523341] 2 [34:383:1] 5850p2 [1,-1,0,-191817,32383341] 2 [249:-12:1]
5850q (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  3  3 13- -3  0
Curve Equation t Generators 5850q1 [1,-1,0,-3197727,2412033741] 1 [1950:58929:1] 5850q2 [1,-1,0,-2051156367,35756293724541] 1 [8968974:-4451313:343]
5850r (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+ -4  0 13- -2  4
Curve Equation t Generators 5850r1 [1,-1,0,-64917,-10501259] 2 [755:18869:1] 5850r2 [1,-1,0,-1216917,-516229259] 4 [-637:728:1] 5850r3 [1,-1,0,-19468917,-33059545259] 2 [5109:25883:1] 5850r4 [1,-1,0,-1396917,-353329259] 2 [-901:13613:1]
5850s (1 curve)	1	2+ 3- 5+ 13-	2+ 3- 5+ -4 -4 13-  4  7
Curve Equation t Generators 5850s1 [1,-1,0,18,-54] 1 [3:3:1]
5850t (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -1  5 13+ -5  0
Curve Equation t Generators 5850t1 [1,-1,0,-185742,-30791084] 1 [7100:593546:1]
5850u (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  2 -2 13+ -2 -4
Curve Equation t Generators 5850u1 [1,-1,0,8883,53541] 2 [18:459:1] 5850u2 [1,-1,0,-36117,458541] 2 [-81:1728:1]
5850v (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -4 -1 13+  7 -3
Curve Equation t Generators 5850v1 [1,-1,0,108,-4784] 1 [15:-1:1]
5850w (1 curve)	0	2+ 3- 5- 13-	2+ 3- 5-  0  3 13-  7  1
Curve Equation t 5850w1 [1,-1,0,-4992,-135334] 1
5850x (1 curve)	0	2+ 3- 5- 13-	2+ 3- 5-  0 -4 13-  0  1
Curve Equation t 5850x1 [1,-1,0,-2022867,1176735541] 1
5850y (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  0  6 13-  0  6
Curve Equation t 5850y1 [1,-1,0,-3492,69916] 2 5850y2 [1,-1,0,-14742,-616334] 2
5850z (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  4 -2 13- -4  2
Curve Equation t 5850z1 [1,-1,0,-80082,8742676] 2 5850z2 [1,-1,0,-81882,8330476] 2
5850ba (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5- -4  6 13-  4  2
Curve Equation t 5850ba1 [1,-1,0,-2907,1701] 2 5850ba2 [1,-1,0,-31707,-2158299] 2
5850bb (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  5  3 13- -3 -4
Curve Equation t 5850bb1 [1,-1,0,-29367,2456541] 1 5850bb2 [1,-1,0,-2549367,1567376541] 3
5850bc (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -2 -6 13+  0 -1
Curve Equation t 5850bc1 [1,-1,1,-27305,1743447] 1 5850bc2 [1,-1,1,-17930,2949697] 1
5850bd (4 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  4  0 13+ -6 -4
Curve Equation t 5850bd1 [1,-1,1,-6230,192897] 2 5850bd2 [1,-1,1,-99980,12192897] 2 5850bd3 [1,-1,1,21895,967897] 2 5850bd4 [1,-1,1,-113105,8797897] 2
5850be (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+  2 -4 13-  0 -6
Curve Equation t Generators 5850be1 [1,-1,1,-80,547] 2 [-1:25:1] 5850be2 [1,-1,1,-1580,24547] 2 [13:71:1]
5850bf (1 curve)	1	2- 3+ 5+ 13-	2- 3+ 5+ -2  2 13- -4 -3
Curve Equation t Generators 5850bf1 [1,-1,1,-35,227] 1 [3:10:1]
5850bg (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+ -2 -4 13- -4  6
Curve Equation t Generators 5850bg1 [1,-1,1,420145,62058647] 2 [339:15430:1] 5850bg2 [1,-1,1,-1979855,537258647] 2 [-1365:27046:1]
5850bh (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5-  2 -2 13+ -4 -3
Curve Equation t Generators 5850bh1 [1,-1,1,-7805,-735803] 1 [319:-5560:1]
5850bi (2 curves)	0	2- 3+ 5- 13-	2- 3+ 5-  2  6 13-  0 -1
Curve Equation t 5850bi1 [1,-1,1,-80,-853] 3 5850bi2 [1,-1,1,-9830,-372653] 1
5850bj (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  0 13+  2 -8
Curve Equation t Generators 5850bj1 [1,-1,1,-1505,8497] 2 [-1:100:1] 5850bj2 [1,-1,1,-19505,1052497] 4 [-11:1130:1] 5850bj3 [1,-1,1,-312005,67157497] 2 [323:-154:1] 5850bj4 [1,-1,1,-15005,1547497] 2 [-1:1250:1]
5850bk (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  0  3 13+ -7  1
Curve Equation t Generators 5850bk1 [1,-1,1,-200,-1043] 1 [694:5993:8]
5850bl (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  0 -4 13+  0  1
Curve Equation t Generators 5850bl1 [1,-1,1,-80915,9430067] 1 [75:1906:1]
5850bm (6 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0 -4 13+ -6  4
Curve Equation t Generators 5850bm1 [1,-1,1,3370,-31003] 2 [49:475:1] 5850bm2 [1,-1,1,-14630,-247003] 4 [-105:403:1] 5850bm3 [1,-1,1,-190130,-31837003] 2 [-255:253:1] 5850bm4 [1,-1,1,-127130,17302997] 4 [229:285:1] 5850bm5 [1,-1,1,-2028380,1112422997] 2 [6462:2615:8] 5850bm6 [1,-1,1,-25880,44032997] 2 [-2218:44805:8]
5850bn (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2  0 13+  0  2
Curve Equation t Generators 5850bn1 [1,-1,1,-1355,-122853] 2 [89:630:1] 5850bn2 [1,-1,1,-46355,-3812853] 2 [-127:180:1] 5850bn3 [1,-1,1,12145,3252147] 2 [-1:1800:1] 5850bn4 [1,-1,1,-269105,51064647] 2 [3742:39975:8]
5850bo (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -5  3 13+  3 -4
Curve Equation t Generators 5850bo1 [1,-1,1,-1175,19887] 1 [35:-162:1] 5850bo2 [1,-1,1,-101975,12559407] 1 [185:-102:1]
5850bp (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+  1  5 13-  5  0
Curve Equation t 5850bp1 [1,-1,1,-7430,-244843] 1
5850bq (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+ -1  2 13- -3  6
Curve Equation t 5850bq1 [1,-1,1,-605,-8603] 1 5850bq2 [1,-1,1,-47855,4432897] 1
5850br (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+ -2 -4 13-  8 -6
Curve Equation t 5850br1 [1,-1,1,895,28397] 2 5850br2 [1,-1,1,-10355,365897] 2
5850bs (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+  4 -1 13- -7 -3
Curve Equation t 5850bs1 [1,-1,1,2695,-595303] 1
5850bt (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  4  2 13-  2  6
Curve Equation t 5850bt1 [1,-1,1,-189230,31726397] 2 5850bt2 [1,-1,1,-171230,37990397] 2
5850bu (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  6 13+  0  6
Curve Equation t 5850bu1 [1,-1,1,-140,587] 2 5850bu2 [1,-1,1,-590,-4813] 2
5850bv (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  1  3 13+ -1 -8
Curve Equation t 5850bv1 [1,-1,1,445,-35053] 1
5850bw (2 curves)	0	2- 3- 5- 13+	2- 3- 5- -3  3 13+  3  0
Curve Equation t 5850bw1 [1,-1,1,-82046255,286066759047] 1 5850bw2 [1,-1,1,-79943180,301424274447] 1
5850bx (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  4 -4 13+ -4  7
Curve Equation t 5850bx1 [1,-1,1,445,-6303] 1
5850by (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  4  6 13+ -4  2
Curve Equation t 5850by1 [1,-1,1,-72680,139947] 2 5850by2 [1,-1,1,-792680,-270580053] 2
5850bz (2 curves)	0	2- 3- 5- 13+	2- 3- 5- -4 -2 13+  4  2
Curve Equation t 5850bz1 [1,-1,1,-2002055,1090832447] 2 5850bz2 [1,-1,1,-2047055,1039262447] 2
5850ca (2 curves)	1	2- 3- 5- 13-	2- 3- 5- -1 -3 13- -3 -4
Curve Equation t Generators 5850ca1 [1,-1,1,-230,-1303] 1 [33:145:1] 5850ca2 [1,-1,1,895,-6703] 3 [9:40:1]
5850cb (2 curves)	1	2- 3- 5- 13-	2- 3- 5- -2 -2 13-  2 -4
Curve Equation t Generators 5850cb1 [1,-1,1,355,357] 2 [9:60:1] 5850cb2 [1,-1,1,-1445,3957] 2 [-7:120:1]
5850cc (2 curves)	1	2- 3- 5- 13-	2- 3- 5- -4  0 13-  0  5
Curve Equation t Generators 5850cc1 [1,-1,1,2695,1159697] 1 [-75:766:1] 5850cc2 [1,-1,1,-756680,253575947] 3 [-831:17965:1]

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