Cremona's table of elliptic curves

30600 = 2³ · 3² · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
30600a (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  2 -3  1 17+ -3
Curve Equation t Generators 30600a1 [0,0,0,2700,-13500] 1 [6:54:1]
30600b (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -2 -2  4 17+  2
Curve Equation t Generators 30600b1 [0,0,0,-151875,23118750] 1 [-2622:49113:8]
30600c (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  3  3 -4 17+  5
Curve Equation t Generators 30600c1 [0,0,0,-675,2430] 1 [18:243:8]
30600d (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  3 -3 -4 17+ -1
Curve Equation t Generators 30600d1 [0,0,0,-100575,15217875] 1 [135:2025:1]
30600e (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  0  2 -6 17- -8
Curve Equation t 30600e1 [0,0,0,12825,2504250] 2 30600e2 [0,0,0,-216675,36240750] 2
30600f (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+ -3  5  0 17- -5
Curve Equation t 30600f1 [0,0,0,-6075,-239625] 1
30600g (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  0  4 -6 17+ -4
Curve Equation t 30600g1 [0,0,0,1125,43750] 2 30600g2 [0,0,0,-13875,568750] 2
30600h (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  0 -4  6 17+ -4
Curve Equation t 30600h1 [0,0,0,405,-9450] 2 30600h2 [0,0,0,-4995,-122850] 2
30600i (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5-  2  2 -4 17+  2
Curve Equation t 30600i1 [0,0,0,-675,-6850] 1
30600j (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5- -3 -3  4 17+  5
Curve Equation t 30600j1 [0,0,0,-1875,-11250] 1
30600k (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5-  1  1  2 17- -1
Curve Equation t Generators 30600k1 [0,0,0,45,775] 1 [11:51:1]
30600l (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5- -1 -1 -2 17- -1
Curve Equation t Generators 30600l1 [0,0,0,10125,-2615625] 1 [175:2125:1]
30600m (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  0  2 17+  4
Curve Equation t 30600m1 [0,0,0,-7050,-221375] 2 30600m2 [0,0,0,-17175,558250] 4 30600m3 [0,0,0,50325,3865750] 2 30600m4 [0,0,0,-246675,47146750] 2
30600n (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  1  3  4 17+ -5
Curve Equation t 30600n1 [0,0,0,-49575,-4274125] 1
30600o (1 curve)	2	2+ 3- 5+ 17+	2+ 3- 5+ -1 -2 -5 17+ -7
Curve Equation t Generators 30600o1 [0,0,0,420,-27340] 1 [26:34:1]&[34:162:1]
30600p (1 curve)	2	2+ 3- 5+ 17+	2+ 3- 5+ -1 -5 -2 17+ -1
Curve Equation t Generators 30600p1 [0,0,0,-3675,86375] 1 [10:-225:1]&[-65:225:1]
30600q (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+ -2  0 -2 17+  4
Curve Equation t 30600q1 [0,0,0,-10875,431750] 2 30600q2 [0,0,0,-1875,1124750] 2
30600r (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3 -3 -4 17+ -5
Curve Equation t 30600r1 [0,0,0,1719825,4288703875] 1
30600s (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  4  0 -2 17+  4
Curve Equation t 30600s1 [0,0,0,-4553175,-113517481750] 2 30600s2 [0,0,0,-380397675,-2825987238250] 4 30600s3 [0,0,0,-705522675,2720320136750] 2 30600s4 [0,0,0,-6068784675,-181970359029250] 2
30600t (4 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+  0  0  2 17- -4
Curve Equation t Generators 30600t1 [0,0,0,-516450,-142853375] 2 [3920:240975:1] 30600t2 [0,0,0,-517575,-142199750] 4 [19259215:1183896000:4913] 30600t3 [0,0,0,-153075,-338665250] 2 [4935:345100:1] 30600t4 [0,0,0,-900075,96097750] 2 [-70:12600:1]
30600u (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  1  5 -4 17- -1
Curve Equation t Generators 30600u1 [0,0,0,473325,-384762625] 1 [6415:516375:1]
30600v (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+ -2 -4 -4 17- -4
Curve Equation t Generators 30600v1 [0,0,0,17925,1439750] 2 [95:2000:1] 30600v2 [0,0,0,-135075,15362750] 2 [-410:1350:1]
30600w (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  3  3 -4 17- -1
Curve Equation t Generators 30600w1 [0,0,0,-75,10375] 1 [35:225:1]
30600x (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  4 -1  5 17- -7
Curve Equation t Generators 30600x1 [0,0,0,-3900,-191500] 1 [94:522:1]
30600y (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5-  0 -2  0 17+ -4
Curve Equation t Generators 30600y1 [0,0,0,-615,-21350] 2 [50:270:1] 30600y2 [0,0,0,-15915,-771050] 2 [254:3402:1]
30600z (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  1  1 -4 17+ -1
Curve Equation t Generators 30600z1 [0,0,0,-2955,-574625] 1 [95:45:1]
30600ba (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -3  1  0 17+ -1
Curve Equation t Generators 30600ba1 [0,0,0,-163875,25534375] 1 [275:1125:1]
30600bb (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -3  1  0 17+ -1
Curve Equation t Generators 30600bb1 [0,0,0,-163875,-25141250] 1 [-250:450:1]
30600bc (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5-  4  2 -4 17+  4
Curve Equation t Generators 30600bc1 [0,0,0,-5250,115625] 2 [16:189:1] 30600bc2 [0,0,0,11625,706250] 2 [391:8064:1]
30600bd (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  4 -2  5 17+ -7
Curve Equation t Generators 30600bd1 [0,0,0,-4755,134350] 1 [-30:500:1]
30600be (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  0 -2 -6 17-  8
Curve Equation t 30600be1 [0,0,0,-379875,-150421250] 1
30600bf (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  1  3  6 17-  1
Curve Equation t 30600bf1 [0,0,0,-685875,209128750] 1
30600bg (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -1 -1  0 17-  3
Curve Equation t 30600bg1 [0,0,0,-16275,793550] 1
30600bh (2 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  2  6 -2 17-  0
Curve Equation t 30600bh1 [0,0,0,-34635,-2491850] 2 30600bh2 [0,0,0,-554835,-159072050] 2
30600bi (2 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  4 -2 -4 17- -4
Curve Equation t 30600bi1 [0,0,0,-1832250,-954509375] 2 30600bi2 [0,0,0,-1680375,-1119293750] 2
30600bj (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  5  3  4 17-  3
Curve Equation t 30600bj1 [0,0,0,2625,-3125] 1
30600bk (2 curves)	2	2- 3+ 5+ 17+	2- 3+ 5+  0 -2 -6 17+ -8
Curve Equation t Generators 30600bk1 [0,0,0,1425,-92750] 2 [41:186:1]&[45:250:1] 30600bk2 [0,0,0,-24075,-1342250] 2 [-85:300:1]&[219:1972:1]
30600bl (1 curve)	2	2- 3+ 5+ 17+	2- 3+ 5+ -3 -5  0 17+ -5
Curve Equation t Generators 30600bl1 [0,0,0,-675,8875] 1 [-31:3:1]&[-15:125:1]
30600bm (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+  2  3  1 17- -3
Curve Equation t Generators 30600bm1 [0,0,0,300,500] 1 [4:42:1]
30600bn (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+ -2  2  4 17-  2
Curve Equation t Generators 30600bn1 [0,0,0,-16875,-856250] 1 [28780598:1494528177:10648]
30600bo (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+  3  3 -4 17- -1
Curve Equation t Generators 30600bo1 [0,0,0,-11175,-563625] 1 [385:7225:1]
30600bp (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+  3 -3 -4 17-  5
Curve Equation t Generators 30600bp1 [0,0,0,-75,-90] 1 [-6:12:1]
30600bq (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  1 -1  2 17+ -1
Curve Equation t Generators 30600bq1 [0,0,0,405,-20925] 1 [30:135:1]
30600br (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -1  1 -2 17+ -1
Curve Equation t Generators 30600br1 [0,0,0,1125,96875] 1 [25:-375:1]
30600bs (2 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  0  4  6 17- -4
Curve Equation t 30600bs1 [0,0,0,45,350] 2 30600bs2 [0,0,0,-555,4550] 2
30600bt (2 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  0 -4 -6 17- -4
Curve Equation t 30600bt1 [0,0,0,10125,-1181250] 2 30600bt2 [0,0,0,-124875,-15356250] 2
30600bu (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  2 -2 -4 17-  2
Curve Equation t 30600bu1 [0,0,0,-6075,184950] 1
30600bv (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5- -3  3  4 17-  5
Curve Equation t 30600bv1 [0,0,0,-16875,303750] 1
30600bw (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  0  1 -3 17+  1
Curve Equation t Generators 30600bw1 [0,0,0,114900,5834500] 1 [-16:1998:1]
30600bx (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0 -2  6 17+  4
Curve Equation t Generators 30600bx1 [0,0,0,-1875,22750] 2 [-46:108:1] 30600bx2 [0,0,0,-10875,-418250] 2 [-1842:2116:27]
30600by (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  0 -2  6 17+  8
Curve Equation t Generators 30600by1 [0,0,0,-15195,-1203370] 1 [220810:2491479:1000]
30600bz (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  4  2 17+  4
Curve Equation t Generators 30600bz1 [0,0,0,1950,111125] 2 [-26:207:1] 30600bz2 [0,0,0,-26175,1489250] 4 [-155:1350:1] 30600bz3 [0,0,0,-93675,-9378250] 2 [-205:1100:1] 30600bz4 [0,0,0,-408675,100556750] 2 [371:56:1]
30600ca (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  4 -6 17+  4
Curve Equation t Generators 30600ca1 [0,0,0,-214050,-31248875] 2 [-5910:61075:27] 30600ca2 [0,0,0,-1034175,376353250] 4 [305:9450:1] 30600ca3 [0,0,0,1031325,1692076750] 2 [3059:182952:1] 30600ca4 [0,0,0,-16221675,25147165750] 2 [813365:1314900:343]
30600cb (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1 -1  0 17+  3
Curve Equation t Generators 30600cb1 [0,0,0,-406875,99193750] 1 [-214:13284:1]
30600cc (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -1  3 -6 17+  1
Curve Equation t Generators 30600cc1 [0,0,0,-27435,1673030] 1 [-146:1602:1]
30600cd (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  2  0  0 17+  4
Curve Equation t Generators 30600cd1 [0,0,0,-9075,-477250] 2 [1555:61200:1] 30600cd2 [0,0,0,-162075,-25110250] 2 [12610:482375:8]
30600ce (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  3 -5  2 17+ -5
Curve Equation t Generators 30600ce1 [0,0,0,-116175,-17013625] 1 [3010:164025:1]
30600cf (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -3  1  6 17+ -5
Curve Equation t Generators 30600cf1 [0,0,0,4425,-106625] 1 [65:675:1]
30600cg (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -3 -5  0 17+ -1
Curve Equation t Generators 30600cg1 [0,0,0,-21483075,38325960875] 1 [3265:54675:1]
30600ch (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0  0  2 17- -4
Curve Equation t 30600ch1 [0,0,0,-32175,-2220750] 2 30600ch2 [0,0,0,-36675,-1559250] 4 30600ch3 [0,0,0,116325,-11198250] 2 30600ch4 [0,0,0,-261675,50415750] 2
30600ci (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  2  6 -2 17-  0
Curve Equation t 30600ci1 [0,0,0,-975,-4750] 2 30600ci2 [0,0,0,3525,-36250] 2
30600cj (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+ -2  2 -2 17-  8
Curve Equation t 30600cj1 [0,0,0,-796575,273645250] 2 30600cj2 [0,0,0,-792075,276889750] 2
30600ck (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -2 -4  1 17- -1
Curve Equation t 30600ck1 [0,0,0,-75,67750] 1
30600cl (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  3  1  0 17- -1
Curve Equation t 30600cl1 [0,0,0,-6555,-201130] 1
30600cm (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  3  1  6 17- -1
Curve Equation t 30600cm1 [0,0,0,-639075,-279314125] 1
30600cn (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  4 -4 -2 17- -4
Curve Equation t 30600cn1 [0,0,0,-76575,-11942750] 4 30600cn2 [0,0,0,-1377075,-621877250] 4 30600cn3 [0,0,0,-1530075,-475150250] 2 30600cn4 [0,0,0,-22032075,-39804412250] 2
30600co (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  4 -4 -6 17-  4
Curve Equation t 30600co1 [0,0,0,-11775,-490750] 2 30600co2 [0,0,0,-16275,-81250] 4 30600co3 [0,0,0,64725,-648250] 2 30600co4 [0,0,0,-169275,26693750] 2
30600cp (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -2  6  2 17+  0
Curve Equation t 30600cp1 [0,0,0,-865875,-311481250] 2 30600cp2 [0,0,0,-13870875,-19884006250] 2
30600cq (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -4 -2  4 17+ -4
Curve Equation t 30600cq1 [0,0,0,-73290,-7636075] 2 30600cq2 [0,0,0,-67215,-8954350] 2
30600cr (1 curve)	2	2- 3- 5- 17+	2- 3- 5- -5  3 -4 17+  3
Curve Equation t Generators 30600cr1 [0,0,0,105,-25] 1 [1:9:1]&[5:25:1]
30600cs (2 curves)	1	2- 3- 5- 17-	2- 3- 5-  0 -2  0 17- -4
Curve Equation t Generators 30600cs1 [0,0,0,-15375,-2668750] 2 [209:1802:1] 30600cs2 [0,0,0,-397875,-96381250] 2 [2459:117448:1]
30600ct (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  1 -2  5 17- -7
Curve Equation t Generators 30600ct1 [0,0,0,10500,-3417500] 1 [776:21726:1]
30600cu (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -1  1  4 17- -1
Curve Equation t Generators 30600cu1 [0,0,0,-73875,-71828125] 1 [649:12393:1]
30600cv (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  3  1  0 17- -1
Curve Equation t Generators 30600cv1 [0,0,0,-6555,204275] 1 [49:27:1]
30600cw (2 curves)	1	2- 3- 5- 17-	2- 3- 5- -4  2  4 17-  4
Curve Equation t Generators 30600cw1 [0,0,0,-210,925] 2 [-10:45:1] 30600cw2 [0,0,0,465,5650] 2 [5:-90:1]
30600cx (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -4 -2 -5 17- -7
Curve Equation t Generators 30600cx1 [0,0,0,-118875,16793750] 1 [350:4250:1]

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

Part of Computational Number Theory
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