Cremona's table of elliptic curves

13050 = 2 · 3² · 5² · 29

Class	r	Atkin-Lehner	Eigenvalues
13050a (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  0 -4  2  6 -8
Curve Equation t Generators 13050a1 [1,-1,0,333,26741] 2 [-1:163:1] 13050a2 [1,-1,0,-11667,470741] 2 [-41:958:1]
13050b (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  1  0 -2  3  5
Curve Equation t Generators 13050b1 [1,-1,0,-3642,85516] 1 [35:-16:1] 13050b2 [1,-1,0,-1392,187766] 1 [85:781:1]
13050c (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+ -4  0 -2 -2  0
Curve Equation t Generators 13050c1 [1,-1,0,-460392,-120481984] 2 [505503296:-20826432723:262144] 13050c2 [1,-1,0,-7372392,-7702945984] 2 [61702:4991949:8]
13050d (2 curves)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  2 -2  0  2  4
Curve Equation t 13050d1 [1,-1,0,113058,14685716] 2 13050d2 [1,-1,0,-654942,139869716] 2
13050e (1 curve)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  5  4  6 -1 -5
Curve Equation t 13050e1 [1,-1,0,33,941] 1
13050f (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0  2  6  0
Curve Equation t 13050f1 [1,-1,0,-25317,392341] 2 13050f2 [1,-1,0,-313317,67496341] 4 13050f3 [1,-1,0,-5011317,4319186341] 2 13050f4 [1,-1,0,-223317,107006341] 2
13050g (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0  6 -2 -4
Curve Equation t 13050g1 [1,-1,0,-19692,-998784] 2 13050g2 [1,-1,0,-60192,4468716] 4 13050g3 [1,-1,0,-903942,330999966] 2 13050g4 [1,-1,0,135558,27371466] 2
13050h (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  2 -4  6 -8
Curve Equation t 13050h1 [1,-1,0,-357,-2539] 1
13050i (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+ -2  6  4 -6 -4
Curve Equation t 13050i1 [1,-1,0,-636417,-189016259] 2 13050i2 [1,-1,0,-1608417,527347741] 2 13050i3 [1,-1,0,-7389792,7673967616] 2 13050i4 [1,-1,0,-117981792,493283439616] 2
13050j (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  3 -6  0  7  5
Curve Equation t 13050j1 [1,-1,0,-12717,571941] 1
13050k (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+ -4  2  0 -2  4
Curve Equation t 13050k1 [1,-1,0,-877617,316709541] 1
13050l (4 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  0  4 -6 -2  4
Curve Equation t Generators 13050l1 [1,-1,0,108,6016] 2 [9:83:1] 13050l2 [1,-1,0,-4392,109516] 4 [-1:338:1] 13050l3 [1,-1,0,-11142,-302234] 2 [-51:388:1] 13050l4 [1,-1,0,-69642,7091266] 2 [159:58:1]
13050m (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  2  1 -3 -4 -8
Curve Equation t Generators 13050m1 [1,-1,0,-267,-2359] 1 [20:-9:1]
13050n (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  2 -2  6  2 -2
Curve Equation t Generators 13050n1 [1,-1,0,-15792,751616] 2 [-16:1008:1] 13050n2 [1,-1,0,2208,2353616] 2 [29:1548:1]
13050o (4 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  4  0  4 -6  2
Curve Equation t Generators 13050o1 [1,-1,0,-12942,-202784] 2 [-97:413:1] 13050o2 [1,-1,0,47808,-1600034] 2 [53:1013:1] 13050o3 [1,-1,0,-569817,165695341] 2 [425:179:1] 13050o4 [1,-1,0,-542817,182084341] 2 [39:12668:1]
13050p (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+ -5 -6  4  3 -1
Curve Equation t Generators 13050p1 [1,-1,0,-1733517,-4141144859] 1 [4502247725:228839883416:1295029] 13050p2 [1,-1,0,15489108,107375352016] 1 [-2977:188234:1]
13050q (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -2  4  0  2  0
Curve Equation t Generators 13050q1 [1,-1,0,-693117,202391541] 2 [-135:17199:1] 13050q2 [1,-1,0,-2515617,-1312105959] 2 [-635:5699:1]
13050r (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -2  4 -4 -6 -4
Curve Equation t Generators 13050r1 [1,-1,0,-2187,-37179] 2 [-27:54:1] 13050r2 [1,-1,0,-34587,-2467179] 2 [-107:54:1]
13050s (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  2  6  2  6  2
Curve Equation t 13050s1 [1,-1,0,108,216] 1 13050s2 [1,-1,0,-2142,39366] 3
13050t (1 curve)	0	2+ 3- 5- 29-	2+ 3- 5-  4 -2  4  2  0
Curve Equation t 13050t1 [1,-1,0,-1242,-57834] 1
13050u (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  4 -2 -6  2  0
Curve Equation t 13050u1 [1,-1,0,-2875617,699596541] 2 13050u2 [1,-1,0,-37435617,88101836541] 2
13050v (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  4  6  4  2 -2
Curve Equation t 13050v1 [1,-1,0,-4617,-27459] 2 13050v2 [1,-1,0,17883,-229959] 2
13050w (1 curve)	0	2+ 3- 5- 29-	2+ 3- 5- -4 -2 -4  2  8
Curve Equation t 13050w1 [1,-1,0,-15530742,96396108916] 1
13050x (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5- -4  3 -4 -3 -7
Curve Equation t 13050x1 [1,-1,0,-95742,-11391084] 1 13050x2 [1,-1,0,129258,-53106084] 3
13050y (2 curves)	0	2- 3+ 5+ 29+	2- 3+ 5+  2  2  0 -2  4
Curve Equation t 13050y1 [1,-1,1,1017520,-397531853] 2 13050y2 [1,-1,1,-5894480,-3770587853] 2
13050z (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  5 -4  6  1 -5
Curve Equation t 13050z1 [1,-1,1,295,-25703] 1
13050ba (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  0  4  2 -6 -8
Curve Equation t Generators 13050ba1 [1,-1,1,2995,-725003] 2 [179:2260:1] 13050ba2 [1,-1,1,-105005,-12605003] 2 [-191:770:1]
13050bb (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  1  0 -2 -3  5
Curve Equation t Generators 13050bb1 [1,-1,1,-155,-6903] 1 [214:585:8] 13050bb2 [1,-1,1,-32780,-2276153] 1 [9014:293785:8]
13050bc (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+ -4  0 -2  2  0
Curve Equation t Generators 13050bc1 [1,-1,1,-51155,4479347] 2 [123:130:1] 13050bc2 [1,-1,1,-819155,285567347] 2 [559:-1730:1]
13050bd (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -1  2  0 -3 -1
Curve Equation t Generators 13050bd1 [1,-1,1,-230,-462603] 1 [113:915:1] 13050bd2 [1,-1,1,-1464980,684851397] 1 [4054:66045:8]
13050be (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+  2  2  0 -2 -8
Curve Equation t Generators 13050be1 [1,-1,1,-2480,8147] 2 [-21:235:1] 13050be2 [1,-1,1,-29480,1952147] 2 [139:655:1]
13050bf (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -4  0  2  2  0
Curve Equation t Generators 13050bf1 [1,-1,1,-56255,-5113753] 2 [-135:148:1] 13050bf2 [1,-1,1,-74255,-1549753] 4 [-171:2560:1] 13050bf3 [1,-1,1,-726755,237265247] 2 [1279:36760:1] 13050bf4 [1,-1,1,290245,-12484753] 2 [315:10336:1]
13050bg (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+ -1 -6  4 -7 -3
Curve Equation t 13050bg1 [1,-1,1,-1130,16247] 1
13050bh (4 curves)	0	2- 3- 5+ 29-	2- 3- 5+  2 -2 -4 -2  0
Curve Equation t 13050bh1 [1,-1,1,-1008005,85391997] 2 13050bh2 [1,-1,1,-9756005,-11654424003] 2 13050bh3 [1,-1,1,-480730505,4057079336997] 2 13050bh4 [1,-1,1,-480737255,4056959713497] 2
13050bi (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  2  3  1  8  0
Curve Equation t 13050bi1 [1,-1,1,1120,-24253] 1 13050bi2 [1,-1,1,-102380,12719747] 1
13050bj (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+ -2  2  4  6  4
Curve Equation t 13050bj1 [1,-1,1,-1130,8997] 2 13050bj2 [1,-1,1,-7880,-261003] 2
13050bk (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+ -2  6 -2 -6  2
Curve Equation t 13050bk1 [1,-1,1,2695,29697] 1 13050bk2 [1,-1,1,-53555,4867197] 1
13050bl (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  4 -2  4 -2  8
Curve Equation t 13050bl1 [1,-1,1,-621230,771293117] 1
13050bm (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  4  3  4  3 -7
Curve Equation t 13050bm1 [1,-1,1,-3830,-90363] 1 13050bm2 [1,-1,1,5170,-425883] 1
13050bn (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  4  4  4 -2  2
Curve Equation t 13050bn1 [1,-1,1,-396005,-93964003] 2 13050bn2 [1,-1,1,35995,-288364003] 2
13050bo (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+ -4 -2 -4 -2  0
Curve Equation t 13050bo1 [1,-1,1,-50,-453] 1
13050bp (1 curve)	0	2- 3- 5- 29+	2- 3- 5-  0  2  4 -6 -8
Curve Equation t 13050bp1 [1,-1,1,-8930,-326303] 1
13050bq (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2  4  0 -2  0
Curve Equation t 13050bq1 [1,-1,1,-27725,1624677] 2 13050bq2 [1,-1,1,-100625,-10476723] 2
13050br (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2  4  4  6 -4
Curve Equation t 13050br1 [1,-1,1,-54680,-4702053] 2 13050br2 [1,-1,1,-864680,-309262053] 2
13050bs (1 curve)	0	2- 3- 5- 29+	2- 3- 5-  4  2  0  2  4
Curve Equation t 13050bs1 [1,-1,1,-35105,2540697] 1
13050bt (2 curves)	1	2- 3- 5- 29-	2- 3- 5- -4 -2  6 -2  0
Curve Equation t Generators 13050bt1 [1,-1,1,-115025,5619777] 2 [-265:4308:1] 13050bt2 [1,-1,1,-1497425,705114177] 2 [759:1940:1]
13050bu (2 curves)	1	2- 3- 5- 29-	2- 3- 5- -4  6 -4 -2 -2
Curve Equation t Generators 13050bu1 [1,-1,1,-185,-183] 2 [-7:30:1] 13050bu2 [1,-1,1,715,-1983] 2 [23:150:1]

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