Cremona's table of elliptic curves

18315 = 3² · 5 · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
18315a (2 curves)	1	3+ 5+ 11+ 37+	1 3+ 5+ -2 11+  4  2 -4
Curve Equation t Generators 18315a1 [1,-1,0,-19050,1015775] 2 [230:2845:1] 18315a2 [1,-1,0,-24045,445346] 2 [1894:21653:8]
18315b (2 curves)	1	3+ 5+ 11+ 37+	-1 3+ 5+  2 11+  0  6  0
Curve Equation t Generators 18315b1 [1,-1,1,-97013,11654092] 2 [613:13193:1] 18315b2 [1,-1,1,-102008,10391356] 2 [-514:32923:8]
18315c (1 curve)	0	3+ 5+ 11+ 37-	2 3+ 5+ -4 11+ -5  0 -8
Curve Equation t 18315c1 [0,0,1,-127143,-38854411] 1
18315d (2 curves)	1	3+ 5+ 11- 37-	0 3+ 5+  2 11- -1  0  2
Curve Equation t Generators 18315d1 [0,0,1,-1158,15828] 3 [78:632:1] 18315d2 [0,0,1,6102,35309] 1 [1:203:1]
18315e (2 curves)	1	3+ 5- 11+ 37-	0 3+ 5-  2 11+ -1  0  2
Curve Equation t Generators 18315e1 [0,0,1,678,-1308] 3 [2:7:1] 18315e2 [0,0,1,-10422,-427363] 1 [978:2831:8]
18315f (2 curves)	1	3+ 5- 11- 37+	1 3+ 5-  2 11-  0 -6  0
Curve Equation t Generators 18315f1 [1,-1,0,-10779,-428040] 2 [1518:15891:8] 18315f2 [1,-1,0,-11334,-381087] 2 [-48:249:1]
18315g (2 curves)	1	3+ 5- 11- 37+	-1 3+ 5- -2 11-  4 -2 -4
Curve Equation t Generators 18315g1 [1,-1,1,-2117,-36916] 2 [-26:18:1] 18315g2 [1,-1,1,-2672,-15604] 2 [-36:199:1]
18315h (1 curve)	2	3+ 5- 11- 37-	-2 3+ 5- -4 11- -5  0 -8
Curve Equation t Generators 18315h1 [0,0,1,-14127,1439052] 1 [-153:137:1]&[2683152842:36929627257:41421736]
18315i (6 curves)	1	3- 5+ 11+ 37-	1 3- 5+  0 11+ -2 -2  4
Curve Equation t Generators 18315i1 [1,-1,0,-5733540,-5281766325] 2 [37981899397744381575236513612686:3228426666955160230516111740648153:4689546740777640266586605467] 18315i2 [1,-1,0,-6392385,-3991879584] 4 [5197364750508700:921338824994668802:163398182563] 18315i3 [1,-1,0,-42117030,102260359575] 4 [58040510990:20639230619505:456533] 18315i4 [1,-1,0,18790740,-27699273459] 2 [21980059556047346610898703850650:-3956282523729528436732355372351829:694408964103530392799181176] 18315i5 [1,-1,0,-668601405,6654409843950] 2 [508530:361924860:1] 18315i6 [1,-1,0,12773025,349825485636] 2 [5131732618234130110664:1827428184763269897835293:40393149973180928]
18315j (1 curve)	1	3- 5+ 11+ 37-	1 3- 5+  2 11+ -2  1 -6
Curve Equation t Generators 18315j1 [1,-1,0,-219780,-92151675] 1 [21703019451934668:410744916513481839:27192154047911]
18315k (4 curves)	1	3- 5+ 11+ 37-	1 3- 5+ -4 11+ -2 -2  0
Curve Equation t Generators 18315k1 [1,-1,0,-675,-1944] 2 [40:164:1] 18315k2 [1,-1,0,-6120,184275] 4 [58:119:1] 18315k3 [1,-1,0,-97695,11777670] 2 [1454:-533:8] 18315k4 [1,-1,0,-1665,443556] 2 [0:666:1]
18315l (2 curves)	1	3- 5+ 11- 37+	1 3- 5+ -4 11- -6  6  0
Curve Equation t Generators 18315l1 [1,-1,0,-900,-10125] 2 [82:639:1] 18315l2 [1,-1,0,-1395,2646] 2 [46:162:1]
18315m (1 curve)	1	3- 5+ 11- 37+	2 3- 5+  3 11-  2  6 -4
Curve Equation t Generators 18315m1 [0,0,1,-423,3989] 1 [-126:653:8]
18315n (1 curve)	1	3- 5- 11+ 37+	-1 3- 5- -2 11+ -2 -5  2
Curve Equation t Generators 18315n1 [1,-1,1,-347,-4084] 1 [24:19:1]
18315o (1 curve)	2	3- 5- 11- 37+	-2 3- 5- -4 11- -3 -6  0
Curve Equation t Generators 18315o1 [0,0,1,-1857,31212] 1 [167:-2093:1]&[-28:247:1]
18315p (1 curve)	1	3- 5- 11- 37-	0 3- 5-  1 11- -2  4  4
Curve Equation t Generators 18315p1 [0,0,1,-1002,-12240] 1 [38:67:1]
18315q (4 curves)	1	3- 5- 11- 37-	1 3- 5-  0 11- -6 -2  8
Curve Equation t Generators 18315q1 [1,-1,0,-7974,-97457] 2 [362:6479:1] 18315q2 [1,-1,0,-69579,7011760] 4 [-4:2702:1] 18315q3 [1,-1,0,-1110204,450526135] 2 [386:8717:1] 18315q4 [1,-1,0,-14634,17748013] 2 [2766:57367:8]
18315r (2 curves)	1	3- 5- 11- 37-	1 3- 5- -2 11- -2  6 -6
Curve Equation t Generators 18315r1 [1,-1,0,-279,1768] 2 [24:80:1] 18315r2 [1,-1,0,216,7015] 2 [-6:77:1]
18315s (4 curves)	1	3- 5- 11- 37-	1 3- 5- -4 11- -2  6  4
Curve Equation t Generators 18315s1 [1,-1,0,-279,-95472] 2 [4368:52312:27] 18315s2 [1,-1,0,-33084,-2280285] 4 [654:15657:1] 18315s3 [1,-1,0,-527589,-147368052] 2 [7014:60213:8] 18315s4 [1,-1,0,-63459,2585790] 4 [6:1482:1]
18315t (4 curves)	1	3- 5- 11- 37-	-1 3- 5-  0 11- -2 -6  0
Curve Equation t Generators 18315t1 [1,-1,1,643,-94044] 4 [50:222:1] 18315t2 [1,-1,1,-27482,-1691544] 4 [-106:201:1] 18315t3 [1,-1,1,-435857,-110645994] 2 [-381:201:1] 18315t4 [1,-1,1,-69107,4685406] 2 [-114:3384:1]
18315u (2 curves)	1	3- 5- 11- 37-	-1 3- 5- -2 11-  6  2  2
Curve Equation t Generators 18315u1 [1,-1,1,-21647,1231246] 2 [-14:1244:1] 18315u2 [1,-1,1,-21152,1289854] 2 [112:-619:1]
18315v (1 curve)	1	3- 5- 11- 37-	2 3- 5-  1 11- -6  2 -4
Curve Equation t Generators 18315v1 [0,0,1,-3289617,-2308586893] 1 [75906:7247291:8]
18315w (1 curve)	1	3- 5- 11- 37-	-2 3- 5- -1 11- -2 -2  4
Curve Equation t Generators 18315w1 [0,0,1,106413,-37580760] 1 [548:13612:1]
18315x (1 curve)	1	3- 5- 11- 37-	-2 3- 5-  3 11-  6 -2 -4
Curve Equation t Generators 18315x1 [0,0,1,123,-50] 1 [4:22:1]

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