Cremona's table of elliptic curves

32430 = 2 · 3 · 5 · 23 · 47

Class	r	Atkin-Lehner	Eigenvalues
32430a (2 curves)	1	2+ 3+ 5+ 23+ 47+	2+ 3+ 5+  2 -2 -2 -2  2
Curve Equation t Generators 32430a1 [1,1,0,77,-167] 2 [4:13:1] 32430a2 [1,1,0,-393,-1953] 2 [-11:40:1]
32430b (2 curves)	1	2+ 3+ 5+ 23+ 47+	2+ 3+ 5+  4  0  4 -6  8
Curve Equation t Generators 32430b1 [1,1,0,-51098,-4456992] 2 [-46473:38424:343] 32430b2 [1,1,0,-71348,-621642] 2 [-11:408:1]
32430c (2 curves)	0	2+ 3+ 5+ 23- 47+	2+ 3+ 5+  0  2  0 -6  0
Curve Equation t 32430c1 [1,1,0,-1166698,-503768492] 2 32430c2 [1,1,0,-18861418,-31536768428] 2
32430d (2 curves)	0	2+ 3+ 5+ 23- 47+	2+ 3+ 5+ -2  4 -6 -4  0
Curve Equation t 32430d1 [1,1,0,-89748,5206608] 2 32430d2 [1,1,0,-689748,-217153392] 2
32430e (2 curves)	1	2+ 3+ 5- 23+ 47-	2+ 3+ 5-  2 -2 -2  0 -4
Curve Equation t Generators 32430e1 [1,1,0,118663,-1664271] 2 [108:3471:1] 32430e2 [1,1,0,-477767,-13950729] 2 [1377:43374:1]
32430f (2 curves)	1	2+ 3+ 5- 23- 47+	2+ 3+ 5-  2 -4  6 -4  4
Curve Equation t Generators 32430f1 [1,1,0,-6864752,6774447024] 2 [-1687:117281:1] 32430f2 [1,1,0,-15302252,-13173490476] 2 [-2187:100281:1]
32430g (2 curves)	1	2+ 3+ 5- 23- 47+	2+ 3+ 5- -2  4  2  0 -4
Curve Equation t Generators 32430g1 [1,1,0,-6422,-198444] 2 [-43:44:1] 32430g2 [1,1,0,-102422,-12659244] 2 [2247:104274:1]
32430h (2 curves)	1	2+ 3+ 5- 23- 47+	2+ 3+ 5- -4  0 -4 -2  0
Curve Equation t Generators 32430h1 [1,1,0,-622,-5516] 2 [-17:31:1] 32430h2 [1,1,0,-9622,-367316] 2 [-57:31:1]
32430i (2 curves)	0	2+ 3+ 5- 23- 47-	2+ 3+ 5-  0 -4 -4  4  8
Curve Equation t 32430i1 [1,1,0,-1717,-27731] 2 32430i2 [1,1,0,-117,-75411] 2
32430j (4 curves)	1	2+ 3- 5+ 23+ 47-	2+ 3- 5+  2  0 -4  0 -4
Curve Equation t Generators 32430j1 [1,0,1,-50199,4323622] 6 [1198:2697:8] 32430j2 [1,0,1,-56949,3084322] 6 [1774:8481:8] 32430j3 [1,0,1,-136914,-13942364] 2 [179515:2518391:343] 32430j4 [1,0,1,-2011914,-1098442364] 2 [23638686890:-1377316337909:6028568]
32430k (4 curves)	1	2+ 3- 5+ 23- 47+	2+ 3- 5+  2  0 -4 -6 -4
Curve Equation t Generators 32430k1 [1,0,1,-11734,487832] 6 [-119:509:1] 32430k2 [1,0,1,-9034,718952] 6 [-116:515:1] 32430k3 [1,0,1,-41749,-2759584] 2 [2030:12841:8] 32430k4 [1,0,1,78251,-15671584] 2 [13423830:149768501:74088]
32430l (4 curves)	0	2+ 3- 5- 23+ 47-	2+ 3- 5-  0  4 -6  2 -4
Curve Equation t 32430l1 [1,0,1,252,-254] 2 32430l2 [1,0,1,-1028,-2302] 4 32430l3 [1,0,1,-10228,395138] 4 32430l4 [1,0,1,-12308,-525694] 2
32430m (2 curves)	0	2+ 3- 5- 23+ 47-	2+ 3- 5-  2  2 -2  2  8
Curve Equation t 32430m1 [1,0,1,-11693,-1257292] 2 32430m2 [1,0,1,-260323,-51082744] 2
32430n (2 curves)	1	2+ 3- 5- 23- 47-	2+ 3- 5-  2  0 -4  0 -4
Curve Equation t Generators 32430n1 [1,0,1,-1273,16328] 2 [9:70:1] 32430n2 [1,0,1,-20023,1088828] 2 [84:-5:1]
32430o (2 curves)	1	2+ 3- 5- 23- 47-	2+ 3- 5-  2  6  2 -6 -4
Curve Equation t Generators 32430o1 [1,0,1,88427,-4643104] 2 [52:284:1] 32430o2 [1,0,1,-392853,-39102752] 2 [-568:1215:1]
32430p (2 curves)	1	2+ 3- 5- 23- 47-	2+ 3- 5- -2  0  0 -4  4
Curve Equation t Generators 32430p1 [1,0,1,-15228,-711494] 2 [-70:147:1] 32430p2 [1,0,1,-32508,1196218] 2 [-136:1830:1]
32430q (2 curves)	1	2+ 3- 5- 23- 47-	2+ 3- 5- -2  0  4  0  4
Curve Equation t Generators 32430q1 [1,0,1,-145823,21409778] 2 [207:220:1] 32430q2 [1,0,1,-2332823,1371226178] 2 [882:-428:1]
32430r (2 curves)	1	2+ 3- 5- 23- 47-	2+ 3- 5- -2  2 -6 -6  6
Curve Equation t Generators 32430r1 [1,0,1,-4213,130688] 2 [19:-250:1] 32430r2 [1,0,1,-71893,7413056] 2 [10:2582:1]
32430s (2 curves)	1	2+ 3- 5- 23- 47-	2+ 3- 5-  4 -4  0  0  0
Curve Equation t Generators 32430s1 [1,0,1,-4727613,165423256] 2 [-2125:25902:1] 32430s2 [1,0,1,18891987,1327507576] 2 [62:49959:1]
32430t (4 curves)	1	2- 3+ 5+ 23+ 47-	2- 3+ 5+  0  4  2  2 -4
Curve Equation t Generators 32430t1 [1,1,1,-222721,20421119] 2 [-137:7024:1] 32430t2 [1,1,1,-3050241,2048318463] 4 [721:14624:1] 32430t3 [1,1,1,-2542641,2753070303] 2 [1097:35304:1] 32430t4 [1,1,1,-48798161,131185547039] 2 [205788117:-270279560:50653]
32430u (4 curves)	1	2- 3+ 5+ 23- 47+	2- 3+ 5+ -4  4 -2  6 -4
Curve Equation t Generators 32430u1 [1,1,1,-236,-1411] 2 [-9:13:1] 32430u2 [1,1,1,-736,5789] 4 [-18:695:8] 32430u3 [1,1,1,1614,37749] 2 [1684:19295:64] 32430u4 [1,1,1,-11086,444629] 2 [558:755:8]
32430v (2 curves)	0	2- 3+ 5- 23+ 47-	2- 3+ 5-  2 -2  6 -2  4
Curve Equation t 32430v1 [1,1,1,-16505,821027] 2 32430v2 [1,1,1,-265135,52436615] 2
32430w (2 curves)	0	2- 3+ 5- 23- 47+	2- 3+ 5-  2  6  2  4  0
Curve Equation t 32430w1 [1,1,1,3247930,2125515395] 2 32430w2 [1,1,1,-18223550,19869546467] 2
32430x (2 curves)	1	2- 3+ 5- 23- 47-	2- 3+ 5-  2 -6 -6 -2  8
Curve Equation t Generators 32430x1 [1,1,1,40,1625] 2 [25:125:1] 32430x2 [1,1,1,-1840,28697] 2 [15:61:1]
32430y (1 curve)	1	2- 3+ 5- 23- 47-	2- 3+ 5- -4  3  6  1 -7
Curve Equation t Generators 32430y1 [1,1,1,-5360,10371665] 1 [-27:3253:1]
32430z (2 curves)	1	2- 3- 5+ 23+ 47+	2- 3- 5+  2 -4 -4 -2  4
Curve Equation t Generators 32430z1 [1,0,0,-94293146,-354530221980] 2 [14164:1066006:1] 32430z2 [1,0,0,-1511181466,-22611295330204] 2 [110420:-34067434:1]
32430ba (2 curves)	1	2- 3- 5+ 23+ 47+	2- 3- 5+  2 -4 -4  4  4
Curve Equation t Generators 32430ba1 [1,0,0,-571,5201] 2 [16:7:1] 32430ba2 [1,0,0,-691,2825] 2 [28:61:1]
32430bb (2 curves)	0	2- 3- 5+ 23+ 47-	2- 3- 5+ -4  0 -2 -2 -6
Curve Equation t 32430bb1 [1,0,0,-211,1085] 2 32430bb2 [1,0,0,-681,-5589] 2
32430bc (2 curves)	0	2- 3- 5+ 23- 47+	2- 3- 5+  4 -4 -4  0  4
Curve Equation t 32430bc1 [1,0,0,-16411,-810559] 2 32430bc2 [1,0,0,-16311,-820899] 2
32430bd (4 curves)	2	2- 3- 5+ 23- 47+	2- 3- 5+ -4 -4 -6 -6 -4
Curve Equation t Generators 32430bd1 [1,0,0,-2291,9825] 2 [-2:121:1]&[-42:201:1] 32430bd2 [1,0,0,-28211,1819041] 4 [-182:1057:1]&[-706:15581:8] 32430bd3 [1,0,0,-19931,2910345] 2 [-176:1075:1]&[-32:1891:1] 32430bd4 [1,0,0,-451211,116621241] 2 [-584:13747:1]&[336:1557:1]
32430be (2 curves)	0	2- 3- 5- 23+ 47+	2- 3- 5-  0  4  4  0  4
Curve Equation t 32430be1 [1,0,0,-338510,20093700] 2 32430be2 [1,0,0,1299890,158046980] 2
32430bf (2 curves)	1	2- 3- 5- 23- 47+	2- 3- 5-  0  0 -6 -2 -2
Curve Equation t Generators 32430bf1 [1,0,0,-2070,32292] 2 [12:90:1] 32430bf2 [1,0,0,-32150,2216100] 2 [100:-110:1]
32430bg (2 curves)	1	2- 3- 5- 23- 47+	2- 3- 5- -2  0 -4  6  4
Curve Equation t Generators 32430bg1 [1,0,0,-70,-435100] 2 [170:-2200:1] 32430bg2 [1,0,0,-86550,-9653868] 2 [-186:228:1]
32430bh (1 curve)	0	2- 3- 5- 23- 47-	2- 3- 5-  4  3 -2 -3  1
Curve Equation t 32430bh1 [1,0,0,40,-390] 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
Back to Tables and computations