Cremona's table of elliptic curves

30210 = 2 · 3 · 5 · 19 · 53

Class	r	Atkin-Lehner	Eigenvalues
30210a (1 curve)	1	2+ 3+ 5+ 19+ 53+	2+ 3+ 5+ -3  4 -5  7 19+
Curve Equation t Generators 30210a1 [1,1,0,71197,-15633243] 1 [161:107:1]
30210b (2 curves)	0	2+ 3+ 5+ 19+ 53-	2+ 3+ 5+  2  0  0 -4 19+
Curve Equation t 30210b1 [1,1,0,-5672123,-5198996643] 2 30210b2 [1,1,0,-6778043,-3029402787] 2
30210c (1 curve)	0	2+ 3+ 5+ 19+ 53-	2+ 3+ 5+  2 -5  5 -4 19+
Curve Equation t 30210c1 [1,1,0,-12183083,18213605373] 1
30210d (2 curves)	1	2+ 3+ 5+ 19- 53-	2+ 3+ 5+  2  0 -6  2 19-
Curve Equation t Generators 30210d1 [1,1,0,1087,24993] 2 [1:161:1] 30210d2 [1,1,0,-8983,268687] 2 [107:686:1]
30210e (2 curves)	1	2+ 3+ 5+ 19- 53-	2+ 3+ 5+ -2 -4 -6 -4 19-
Curve Equation t Generators 30210e1 [1,1,0,244302,127009908] 2 [76:12046:1] 30210e2 [1,1,0,-2789418,1602004572] 2 [1507:27946:1]
30210f (2 curves)	1	2+ 3+ 5- 19- 53+	2+ 3+ 5-  0  0 -4 -2 19-
Curve Equation t Generators 30210f1 [1,1,0,363,-2439] 2 [7:19:1] 30210f2 [1,1,0,-2067,-25281] 2 [-37:66:1]
30210g (1 curve)	1	2+ 3+ 5- 19- 53+	2+ 3+ 5- -3  0 -1  7 19-
Curve Equation t Generators 30210g1 [1,1,0,-736837,296970829] 1 [583:7831:1]
30210h (2 curves)	0	2+ 3+ 5- 19- 53-	2+ 3+ 5-  0  0  6  2 19-
Curve Equation t 30210h1 [1,1,0,-17,-159] 2 30210h2 [1,1,0,-547,-5141] 2
30210i (1 curve)	0	2+ 3+ 5- 19- 53-	2+ 3+ 5-  3 -6  3  7 19-
Curve Equation t 30210i1 [1,1,0,-100187,12812061] 1
30210j (4 curves)	1	2+ 3- 5+ 19- 53+	2+ 3- 5+  4  0 -6 -2 19-
Curve Equation t Generators 30210j1 [1,0,1,374871,93628252] 2 [16833:636050:27] 30210j2 [1,0,1,-2231549,899533316] 4 [33500370:156585323:27000] 30210j3 [1,0,1,-13512799,-18418479184] 2 [84500165523930:-30299379603057353:658503000] 30210j4 [1,0,1,-32653019,71805895592] 2 [30882026910:1167305789:9261000]
30210k (1 curve)	0	2+ 3- 5+ 19- 53-	2+ 3- 5+  1 -2  6  3 19-
Curve Equation t 30210k1 [1,0,1,131,-808] 1
30210l (2 curves)	1	2+ 3- 5- 19+ 53+	2+ 3- 5-  0 -4  0  6 19+
Curve Equation t Generators 30210l1 [1,0,1,234487,-30706612] 2 [204:4960:1] 30210l2 [1,0,1,-1165193,-272011444] 2 [-840:11107:1]
30210m (4 curves)	1	2+ 3- 5- 19+ 53+	2+ 3- 5-  0 -4  2 -6 19+
Curve Equation t Generators 30210m1 [1,0,1,-70643,3701006] 2 [-2760:86134:27] 30210m2 [1,0,1,-969523,367208078] 4 [544:650:1] 30210m3 [1,0,1,-810523,491673278] 2 [2664:129970:1] 30210m4 [1,0,1,-15510603,23510791006] 2 [2180:6597:1]
30210n (2 curves)	0	2+ 3- 5- 19+ 53-	2+ 3- 5-  4  2 -4  6 19+
Curve Equation t 30210n1 [1,0,1,-202328,-36075994] 2 30210n2 [1,0,1,-3263608,-2269585882] 2
30210o (2 curves)	0	2+ 3- 5- 19+ 53-	2+ 3- 5-  4 -6 -4  2 19+
Curve Equation t 30210o1 [1,0,1,77,-262] 2 30210o2 [1,0,1,-453,-2594] 2
30210p (1 curve)	0	2- 3+ 5+ 19+ 53+	2- 3+ 5+  3 -2 -2  7 19+
Curve Equation t 30210p1 [1,1,1,-1511,23333] 1
30210q (1 curve)	2	2- 3+ 5+ 19+ 53+	2- 3+ 5+ -3 -6  1 -7 19+
Curve Equation t Generators 30210q1 [1,1,1,-126,699] 1 [-11:35:1]&[-82:295:8]
30210r (2 curves)	0	2- 3+ 5+ 19+ 53+	2- 3+ 5+ -4  4 -2 -2 19+
Curve Equation t 30210r1 [1,1,1,919,-2797] 2 30210r2 [1,1,1,-3851,-27601] 2
30210s (1 curve)	0	2- 3+ 5+ 19+ 53+	2- 3+ 5+  5  4  7  7 19+
Curve Equation t 30210s1 [1,1,1,-64242851,198267110849] 1
30210t (1 curve)	1	2- 3+ 5+ 19+ 53-	2- 3+ 5+  3 -2 -1 -1 19+
Curve Equation t Generators 30210t1 [1,1,1,-5081,-147481] 1 [189:-2480:1]
30210u (1 curve)	1	2- 3+ 5+ 19- 53+	2- 3+ 5+ -2 -1  3  8 19-
Curve Equation t Generators 30210u1 [1,1,1,-51,3873] 1 [-11:62:1]
30210v (1 curve)	0	2- 3+ 5+ 19- 53-	2- 3+ 5+  1 -6 -2 -7 19-
Curve Equation t 30210v1 [1,1,1,-4306,176369] 1
30210w (1 curve)	1	2- 3+ 5- 19+ 53+	2- 3+ 5-  2 -1 -1 -4 19+
Curve Equation t Generators 30210w1 [1,1,1,2245,376265] 1 [-45:454:1]
30210x (2 curves)	0	2- 3+ 5- 19- 53+	2- 3+ 5-  2  0  6  4 19-
Curve Equation t 30210x1 [1,1,1,-808990,279732827] 2 30210x2 [1,1,1,-12943870,17918994395] 2
30210y (2 curves)	0	2- 3+ 5- 19- 53+	2- 3+ 5-  4 -4  6  2 19-
Curve Equation t 30210y1 [1,1,1,-213960,49012965] 2 30210y2 [1,1,1,-3691290,2727947997] 2
30210z (1 curve)	0	2- 3+ 5- 19- 53+	2- 3+ 5-  5  0  3 -5 19-
Curve Equation t 30210z1 [1,1,1,-120,-1593] 1
30210ba (1 curve)	1	2- 3+ 5- 19- 53-	2- 3+ 5-  1  0  1 -1 19-
Curve Equation t Generators 30210ba1 [1,1,1,-31760,2170865] 1 [93:-227:1]
30210bb (1 curve)	1	2- 3+ 5- 19- 53-	2- 3+ 5-  1 -6  3 -3 19-
Curve Equation t Generators 30210bb1 [1,1,1,235,-23245] 1 [105:1030:1]
30210bc (1 curve)	1	2- 3+ 5- 19- 53-	2- 3+ 5- -3  0  1 -5 19-
Curve Equation t Generators 30210bc1 [1,1,1,-9934464295,-391142921611555] 1 [727883:614469978:1]
30210bd (4 curves)	1	2- 3+ 5- 19- 53-	2- 3+ 5- -4 -4 -2 -2 19-
Curve Equation t Generators 30210bd1 [1,1,1,-320,-2335] 2 [25:65:1] 30210bd2 [1,1,1,-400,-1183] 4 [-13:51:1] 30210bd3 [1,1,1,1500,-7263] 2 [25:203:1] 30210bd4 [1,1,1,-3580,80225] 4 [-466:2699:8]
30210be (1 curve)	1	2- 3+ 5- 19- 53-	2- 3+ 5-  5  2 -5  1 19-
Curve Equation t Generators 30210be1 [1,1,1,31800,52435785] 1 [433:11933:1]
30210bf (1 curve)	1	2- 3- 5+ 19+ 53+	2- 3- 5+  1 -4 -1  3 19+
Curve Equation t Generators 30210bf1 [1,0,0,684,1296] 1 [36:252:1]
30210bg (2 curves)	1	2- 3- 5+ 19+ 53+	2- 3- 5+ -2 -4  2 -6 19+
Curve Equation t Generators 30210bg1 [1,0,0,-671,6645] 2 [102:63:8] 30210bg2 [1,0,0,-10741,427571] 2 [3284:5423:64]
30210bh (2 curves)	0	2- 3- 5+ 19+ 53-	2- 3- 5+  0  2  4  2 19+
Curve Equation t 30210bh1 [1,0,0,-20816,-1115904] 2 30210bh2 [1,0,0,-54736,3436160] 2
30210bi (2 curves)	1	2- 3- 5+ 19- 53-	2- 3- 5+  0  2 -4  2 19-
Curve Equation t Generators 30210bi1 [1,0,0,-171,-399] 2 [-4:17:1] 30210bi2 [1,0,0,-2291,-42375] 2 [100:805:1]
30210bj (6 curves)	1	2- 3- 5- 19+ 53-	2- 3- 5-  0 -4 -2  2 19+
Curve Equation t Generators 30210bj1 [1,0,0,103995,-1877823] 4 [24:783:1] 30210bj2 [1,0,0,-420885,-15209775] 8 [-60:3165:1] 30210bj3 [1,0,0,-4268385,3377515725] 4 [1290:3645:1] 30210bj4 [1,0,0,-4971465,-4259080683] 4 [28542:1210029:8] 30210bj5 [1,0,0,-3249495,-7252897725] 2 [3083061240:404526047505:175616] 30210bj6 [1,0,0,-79502715,-272854799433] 2 [148542:17181429:8]
30210bk (1 curve)	1	2- 3- 5- 19- 53+	2- 3- 5-  1 -4 -5  7 19-
Curve Equation t Generators 30210bk1 [1,0,0,-6305,322377] 1 [94:-797:1]
30210bl (2 curves)	1	2- 3- 5- 19- 53+	2- 3- 5- -2 -4 -2 -2 19-
Curve Equation t Generators 30210bl1 [1,0,0,123110,5501540] 2 [32:3062:1] 30210bl2 [1,0,0,-521370,45072612] 2 [-216:12258:1]
30210bm (4 curves)	1	2- 3- 5- 19- 53+	2- 3- 5- -4  0  2 -6 19-
Curve Equation t Generators 30210bm1 [1,0,0,27025,-162375] 6 [10:325:1] 30210bm2 [1,0,0,-108655,-1329223] 6 [-316:1373:1] 30210bm3 [1,0,0,-390575,-99231495] 2 [922:17557:1] 30210bm4 [1,0,0,-6345655,-6153165823] 2 [-1456:833:1]
30210bn (2 curves)	0	2- 3- 5- 19- 53-	2- 3- 5-  2  3  5  0 19-
Curve Equation t 30210bn1 [1,0,0,-240845,-45540975] 3 30210bn2 [1,0,0,-19511645,-33174946335] 1
30210bo (4 curves)	0	2- 3- 5- 19- 53-	2- 3- 5- -4  4 -6 -2 19-
Curve Equation t 30210bo1 [1,0,0,-2005,34385] 4 30210bo2 [1,0,0,-2185,27797] 4 30210bo3 [1,0,0,5765,185207] 2 30210bo4 [1,0,0,-13015,-550525] 2

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