Cremona's table of elliptic curves

30360 = 2³ · 3 · 5 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
30360a (2 curves)	1	2+ 3+ 5+ 11+ 23+	2+ 3+ 5+ -2 11+ -6  2  2
Curve Equation t Generators 30360a1 [0,-1,0,69,0] 2 [3:15:1] 30360a2 [0,-1,0,-276,276] 2 [-10:44:1]
30360b (4 curves)	0	2+ 3+ 5+ 11+ 23-	2+ 3+ 5+  0 11+ -2  6  0
Curve Equation t 30360b1 [0,-1,0,-2871,-39204] 2 30360b2 [0,-1,0,-17996,904596] 4 30360b3 [0,-1,0,7304,3222076] 2 30360b4 [0,-1,0,-285296,58748316] 2
30360c (1 curve)	0	2+ 3+ 5+ 11+ 23-	2+ 3+ 5+  1 11+  5 -4 -6
Curve Equation t 30360c1 [0,-1,0,-360105416,-2659523180820] 1
30360d (1 curve)	0	2+ 3+ 5+ 11+ 23-	2+ 3+ 5+  2 11+  0 -1  6
Curve Equation t 30360d1 [0,-1,0,-7976,-514260] 1
30360e (1 curve)	0	2+ 3+ 5+ 11+ 23-	2+ 3+ 5+ -3 11+  1  0  6
Curve Equation t 30360e1 [0,-1,0,-19530376,41917975660] 1
30360f (2 curves)	2	2+ 3+ 5+ 11+ 23-	2+ 3+ 5+ -4 11+  0 -4 -6
Curve Equation t Generators 30360f1 [0,-1,0,-111,540] 2 [-9:27:1]&[3:15:1] 30360f2 [0,-1,0,-1836,30900] 2 [-19:242:1]&[14:88:1]
30360g (4 curves)	0	2+ 3+ 5- 11+ 23+	2+ 3+ 5-  0 11+ -2  2  0
Curve Equation t 30360g1 [0,-1,0,-30255,1860372] 4 30360g2 [0,-1,0,-108380,-11639628] 4 30360g3 [0,-1,0,194120,-65242628] 2 30360g4 [0,-1,0,-1660880,-823286628] 2
30360h (2 curves)	1	2+ 3+ 5- 11+ 23-	2+ 3+ 5-  4 11+ -4 -4  6
Curve Equation t Generators 30360h1 [0,-1,0,-231100,-42675500] 2 [35070:-6566840:1] 30360h2 [0,-1,0,-204480,-52908228] 2 [554:1880:1]
30360i (2 curves)	0	2+ 3+ 5- 11- 23-	2+ 3+ 5-  2 11-  2  6 -2
Curve Equation t 30360i1 [0,-1,0,-115,-2000] 2 30360i2 [0,-1,0,-3220,-69068] 2
30360j (2 curves)	0	2+ 3- 5+ 11+ 23+	2+ 3- 5+  4 11+  0  8  2
Curve Equation t 30360j1 [0,1,0,-83831,-9371706] 2 30360j2 [0,1,0,-1341356,-598396416] 2
30360k (4 curves)	1	2+ 3- 5+ 11+ 23-	2+ 3- 5+  0 11+ -2  6  8
Curve Equation t Generators 30360k1 [0,1,0,-1196,-15456] 2 [40:48:1] 30360k2 [0,1,0,-3616,63920] 4 [-13:330:1] 30360k3 [0,1,0,8264,406064] 2 [59:1050:1] 30360k4 [0,1,0,-54216,4840560] 2 [171:774:1]
30360l (2 curves)	0	2+ 3- 5+ 11- 23-	2+ 3- 5+ -2 11- -2  6 -6
Curve Equation t 30360l1 [0,1,0,-571,-5446] 2 30360l2 [0,1,0,-516,-6480] 2
30360m (1 curve)	0	2+ 3- 5+ 11- 23-	2+ 3- 5+  3 11-  5  2 -8
Curve Equation t 30360m1 [0,1,0,11384,644720] 1
30360n (4 curves)	1	2+ 3- 5- 11+ 23+	2+ 3- 5-  0 11+  2 -6  0
Curve Equation t Generators 30360n1 [0,1,0,-4135,-287842] 4 [106:690:1] 30360n2 [0,1,0,-95260,-11332192] 4 [788:20088:1] 30360n3 [0,1,0,-124960,-3705232] 2 [21441:538966:27] 30360n4 [0,1,0,-1523560,-724339552] 2 [11594:85281:8]
30360o (2 curves)	1	2+ 3- 5- 11+ 23+	2+ 3- 5-  0 11+  4  0 -6
Curve Equation t Generators 30360o1 [0,1,0,-646860,200030400] 2 [3690:825:8] 30360o2 [0,1,0,-646640,200173488] 2 [196:9000:1]
30360p (2 curves)	1	2+ 3- 5- 11+ 23+	2+ 3- 5- -2 11+  2 -2  6
Curve Equation t Generators 30360p1 [0,1,0,-14475,596250] 2 [-75:1125:1] 30360p2 [0,1,0,19900,3030000] 2 [-20:1620:1]
30360q (2 curves)	0	2- 3+ 5+ 11+ 23+	2- 3+ 5+  2 11+  6 -2 -2
Curve Equation t 30360q1 [0,-1,0,-571,-5180] 2 30360q2 [0,-1,0,-9196,-336380] 2
30360r (2 curves)	0	2- 3+ 5+ 11+ 23+	2- 3+ 5+ -2 11+  2 -6  6
Curve Equation t 30360r1 [0,-1,0,39309,-1460484] 2 30360r2 [0,-1,0,-176316,-12155484] 2
30360s (1 curve)	0	2- 3+ 5+ 11+ 23+	2- 3+ 5+ -2 11+ -4  3 -6
Curve Equation t 30360s1 [0,-1,0,18384,1314060] 1
30360t (1 curve)	0	2- 3+ 5+ 11+ 23+	2- 3+ 5+  4 11+ -1  6 -3
Curve Equation t 30360t1 [0,-1,0,-41,-99] 1
30360u (1 curve)	0	2- 3+ 5+ 11+ 23+	2- 3+ 5+ -5 11+  5  6  0
Curve Equation t 30360u1 [0,-1,0,-24656,1498956] 1
30360v (1 curve)	1	2- 3+ 5+ 11- 23+	2- 3+ 5+  3 11-  4 -3 -8
Curve Equation t Generators 30360v1 [0,-1,0,-1281,32661] 1 [75:594:1]
30360w (2 curves)	0	2- 3+ 5- 11+ 23-	2- 3+ 5-  0 11+  4  0  2
Curve Equation t 30360w1 [0,-1,0,-60820,-5752988] 2 30360w2 [0,-1,0,-60600,-5796900] 2
30360x (4 curves)	2	2- 3+ 5- 11- 23+	2- 3+ 5- -4 11- -2 -6  0
Curve Equation t Generators 30360x1 [0,-1,0,-615,6000] 4 [-28:22:1]&[17:13:1] 30360x2 [0,-1,0,-1220,-7068] 4 [-28:66:1]&[-26:80:1] 30360x3 [0,-1,0,4280,-57668] 2 [22:216:1]&[29:300:1] 30360x4 [0,-1,0,-16400,-802500] 2 [-74:20:1]&[150:300:1]
30360y (6 curves)	1	2- 3+ 5- 11- 23-	2- 3+ 5-  0 11- -2  2  4
Curve Equation t Generators 30360y1 [0,-1,0,-12815,354720] 4 [-3:627:1] 30360y2 [0,-1,0,-86020,-9425468] 8 [2592:131054:1] 30360y3 [0,-1,0,22880,-31771748] 4 [130889646:6657564452:50653] 30360y4 [0,-1,0,-1366200,-614182500] 4 [29997675:1903844250:6859] 30360y5 [0,-1,0,-1356080,-623739828] 2 [2022232110390613:128365744837443750:462427901837] 30360y6 [0,-1,0,-21859200,-39329558100] 2 [13478418037:360234206310:2352637]
30360z (2 curves)	1	2- 3+ 5- 11- 23-	2- 3+ 5- -2 11-  2 -2 -2
Curve Equation t Generators 30360z1 [0,-1,0,-9875,697500] 2 [-55:1035:1] 30360z2 [0,-1,0,-192380,32526372] 2 [244:230:1]
30360ba (1 curve)	1	2- 3+ 5- 11- 23-	2- 3+ 5-  3 11- -5 -4 -2
Curve Equation t Generators 30360ba1 [0,-1,0,0,300] 1 [5:20:1]
30360bb (4 curves)	1	2- 3- 5+ 11+ 23+	2- 3- 5+  0 11+  2 -2  4
Curve Equation t Generators 30360bb1 [0,1,0,-1551,22074] 2 [849:1981:27] 30360bb2 [0,1,0,-4196,-76320] 4 [-26:126:1] 30360bb3 [0,1,0,10984,-489216] 2 [480:10752:1] 30360bb4 [0,1,0,-61696,-5918320] 2 [13872:267652:27]
30360bc (2 curves)	1	2- 3- 5+ 11+ 23+	2- 3- 5+  0 11+  4  0 -6
Curve Equation t Generators 30360bc1 [0,1,0,329,-670] 2 [7:45:1] 30360bc2 [0,1,0,-1396,-6880] 2 [76:576:1]
30360bd (2 curves)	1	2- 3- 5+ 11- 23-	2- 3- 5+  2 11- -6 -6  6
Curve Equation t Generators 30360bd1 [0,1,0,-1771,27830] 2 [11:99:1] 30360bd2 [0,1,0,-396,71280] 2 [-18:270:1]
30360be (2 curves)	1	2- 3- 5+ 11- 23-	2- 3- 5+ -2 11- -2  2  2
Curve Equation t Generators 30360be1 [0,1,0,-4731,-122706] 2 [-45:33:1] 30360be2 [0,1,0,1924,-434160] 2 [142:-1650:1]
30360bf (1 curve)	0	2- 3- 5- 11+ 23+	2- 3- 5-  1 11+ -4 -8  3
Curve Equation t 30360bf1 [0,1,0,-724240,-237706912] 1
30360bg (2 curves)	0	2- 3- 5- 11+ 23+	2- 3- 5-  4 11+ -4  4  6
Curve Equation t 30360bg1 [0,1,0,-100,320] 2 30360bg2 [0,1,0,120,1728] 2
30360bh (4 curves)	1	2- 3- 5- 11+ 23-	2- 3- 5- -4 11+ -2  2  0
Curve Equation t Generators 30360bh1 [0,1,0,-1495,26450] 4 [35:135:1] 30360bh2 [0,1,0,-25300,1540448] 4 [2622:-2530:27] 30360bh3 [0,1,0,-26680,1361600] 2 [40:600:1] 30360bh4 [0,1,0,-404800,98996048] 2 [376:300:1]

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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