Cremona's table of elliptic curves

90675 = 3² · 5² · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
90675a (1 curve)	0	3+ 5+ 13- 31+	2 3+ 5+  1 -3 13-  7 -8
Curve Equation t 90675a1 [0,0,1,19575,22781] 1
90675b (1 curve)	0	3+ 5+ 13- 31+	2 3+ 5+ -5  6 13-  4 -2
Curve Equation t 90675b1 [0,0,1,-222075,-24459469] 1
90675c (1 curve)	2	3+ 5+ 13- 31+	-2 3+ 5+  1  3 13- -7 -8
Curve Equation t Generators 90675c1 [0,0,1,2175,-844] 1 [40:-388:1]&[9:139:1]
90675d (1 curve)	2	3+ 5+ 13- 31+	-2 3+ 5+ -5 -6 13- -4 -2
Curve Equation t Generators 90675d1 [0,0,1,-24675,905906] 1 [10:-813:1]&[-81:1540:1]
90675e (1 curve)	1	3+ 5+ 13- 31-	2 3+ 5+  1 -2 13-  8  6
Curve Equation t Generators 90675e1 [0,0,1,-5175,136531] 1 [530:2321:8]
90675f (1 curve)	1	3+ 5+ 13- 31-	-2 3+ 5+  1  2 13- -8  6
Curve Equation t Generators 90675f1 [0,0,1,-46575,-3686344] 1 [-129:418:1]
90675g (2 curves)	1	3+ 5- 13+ 31-	1 3+ 5- -2  0 13+ -2 -4
Curve Equation t Generators 90675g1 [1,-1,0,-102,-1169] 2 [142:319:8] 90675g2 [1,-1,0,-2427,-45344] 2 [1134:11939:8]
90675h (2 curves)	1	3+ 5- 13+ 31-	-1 3+ 5- -2  0 13+  2 -4
Curve Equation t Generators 90675h1 [1,-1,1,-920,32482] 2 [-10:206:1] 90675h2 [1,-1,1,-21845,1246132] 2 [49:515:1]
90675i (1 curve)	1	3+ 5- 13+ 31-	2 3+ 5- -5 -6 13+ -4  8
Curve Equation t Generators 90675i1 [0,0,1,-212625,-37736719] 1 [-14573418:653801:54872]
90675j (1 curve)	1	3+ 5- 13+ 31-	-2 3+ 5- -5  6 13+  4  8
Curve Equation t Generators 90675j1 [0,0,1,-23625,1397656] 1 [100:-188:1]
90675k (2 curves)	0	3+ 5- 13- 31-	1 3+ 5-  2  0 13- -2 -4
Curve Equation t 90675k1 [1,-1,0,-22992,4037291] 2 90675k2 [1,-1,0,-546117,155220416] 2
90675l (2 curves)	0	3+ 5- 13- 31-	-1 3+ 5-  2  0 13-  2 -4
Curve Equation t 90675l1 [1,-1,1,-2555,-148678] 2 90675l2 [1,-1,1,-60680,-5728678] 2
90675m (1 curve)	0	3+ 5- 13- 31-	2 3+ 5-  5  6 13- -4  8
Curve Equation t 90675m1 [0,0,1,-945,11181] 1
90675n (1 curve)	0	3+ 5- 13- 31-	-2 3+ 5-  5 -6 13-  4  8
Curve Equation t 90675n1 [0,0,1,-8505,-301894] 1
90675o (1 curve)	0	3- 5+ 13+ 31+	0 3- 5+  2 -1 13+ -4  0
Curve Equation t 90675o1 [0,0,1,-3000,-69719] 1
90675p (1 curve)	0	3- 5+ 13+ 31+	0 3- 5+  4  4 13+ -6  6
Curve Equation t 90675p1 [0,0,1,-30,396] 1
90675q (1 curve)	0	3- 5+ 13+ 31+	0 3- 5+  5 -1 13+  5 -6
Curve Equation t 90675q1 [0,0,1,-814800,604906906] 1
90675r (4 curves)	0	3- 5+ 13+ 31+	1 3- 5+  0  0 13+ -2  4
Curve Equation t 90675r1 [1,-1,0,-52542,-2993009] 2 90675r2 [1,-1,0,-755667,-252602384] 4 90675r3 [1,-1,0,-671292,-311243009] 2 90675r4 [1,-1,0,-12090042,-16177399259] 2
90675s (1 curve)	0	3- 5+ 13+ 31+	2 3- 5+ -2 -5 13+  0  2
Curve Equation t 90675s1 [0,0,1,4254675,76282877281] 1
90675t (1 curve)	0	3- 5+ 13+ 31+	-2 3- 5+ -2 -1 13+  8  6
Curve Equation t 90675t1 [0,0,1,-99525,27368406] 1
90675u (3 curves)	1	3- 5+ 13+ 31-	0 3- 5+  1  3 13+ -3  2
Curve Equation t Generators 90675u1 [0,0,1,-849089550,-9523100278094] 1 [486611083821790280:3328068889990526419319:10403062487] 90675u2 [0,0,1,-845566050,-9606054433469] 1 [2513654755:425729998111:50653] 90675u3 [0,0,1,3286493700,-45868125358094] 1 [10580319730345845747565780:3199416384605679915048151249:302574975436016978752]
90675v (3 curves)	1	3- 5+ 13+ 31-	0 3- 5+  1 -6 13+  6  2
Curve Equation t Generators 90675v1 [0,0,1,-137550,-19608719] 1 [565:9112:1] 90675v2 [0,0,1,-562800,143474656] 1 [1510:52312:1] 90675v3 [0,0,1,-44086800,112670696281] 1 [31970:140621:8]
90675w (2 curves)	1	3- 5+ 13+ 31-	0 3- 5+ -2  0 13+  3 -7
Curve Equation t Generators 90675w1 [0,0,1,-7050,-845969] 1 [305:-5038:1] 90675w2 [0,0,1,62700,21369406] 1 [1810:54921:8]
90675x (2 curves)	1	3- 5+ 13+ 31-	0 3- 5+ -2  3 13+  0 -4
Curve Equation t Generators 90675x1 [0,0,1,-30,1696] 1 [4:40:1] 90675x2 [0,0,1,-11730,489001] 1 [91:418:1]
90675y (2 curves)	1	3- 5+ 13+ 31-	0 3- 5+  4  3 13+  3  5
Curve Equation t Generators 90675y1 [0,0,1,-20370,1040071] 1 [1497:7676:27] 90675y2 [0,0,1,-1617420,791739526] 1 [704:1410:1]
90675z (2 curves)	1	3- 5+ 13+ 31-	0 3- 5+  4 -3 13+  0  2
Curve Equation t Generators 90675z1 [0,0,1,8700,397156] 1 [290:6971:8] 90675z2 [0,0,1,-270300,54348781] 1 [2210:6971:8]
90675ba (4 curves)	1	3- 5+ 13+ 31-	1 3- 5+  0 -4 13+  2 -4
Curve Equation t Generators 90675ba1 [1,-1,0,-4192542,-3942167009] 2 [31595649259133138141622617356478012152360:-1372677912872192517083569514228342647178177:9259417526116701441156704427122657792] 90675ba2 [1,-1,0,-70622667,-228409559384] 4 [-324166636533695373484324:990972664850058120287:66625374508833905344] 90675ba3 [1,-1,0,-74176542,-204147254759] 2 [-13296065064:-557168899693:3307949] 90675ba4 [1,-1,0,-1129950792,-14619382137509] 2 [-94801906266658468290457151442099062007924:47378413386660748411973985943683762889387:4884877599932436663268778249160165824]
90675bb (1 curve)	1	3- 5+ 13+ 31-	-2 3- 5+  3  2 13+  2 -4
Curve Equation t Generators 90675bb1 [0,0,1,-15825,514156] 1 [-35:1012:1]
90675bc (1 curve)	1	3- 5+ 13- 31+	-2 3- 5+  4  6 13- -1  1
Curve Equation t Generators 90675bc1 [0,0,1,-28575,-1863844] 1 [5520:24724:27]
90675bd (1 curve)	0	3- 5+ 13- 31-	0 3- 5+  3  3 13- -1  6
Curve Equation t 90675bd1 [0,0,1,-22415625300,1291896373533156] 1
90675be (4 curves)	0	3- 5+ 13- 31-	1 3- 5+ -4  4 13- -6  4
Curve Equation t 90675be1 [1,-1,0,-7542,-207009] 2 90675be2 [1,-1,0,-35667,2408616] 4 90675be3 [1,-1,0,37458,10964241] 2 90675be4 [1,-1,0,-558792,160915491] 2
90675bf (1 curve)	0	3- 5+ 13- 31-	-1 3- 5+  4  4 13- -1  0
Curve Equation t 90675bf1 [1,-1,1,-363695,-84355428] 1
90675bg (1 curve)	0	3- 5+ 13- 31-	2 3- 5+ -2  1 13- -4 -6
Curve Equation t 90675bg1 [0,0,1,-18138032175,946553876277781] 1
90675bh (1 curve)	0	3- 5+ 13- 31-	-2 3- 5+ -2  5 13-  4 -2
Curve Equation t 90675bh1 [0,0,1,2175,-241344] 1
90675bi (1 curve)	0	3- 5+ 13- 31-	-2 3- 5+  4  5 13-  7  7
Curve Equation t 90675bi1 [0,0,1,-7021875,6979110156] 1
90675bj (1 curve)	0	3- 5+ 13- 31-	-2 3- 5+  5 -2 13-  6  4
Curve Equation t 90675bj1 [0,0,1,-1452675,626419656] 1
90675bk (1 curve)	1	3- 5- 13+ 31+	0 3- 5- -1 -2 13+  2  0
Curve Equation t Generators 90675bk1 [0,0,1,-3000,3906] 1 [0:62:1]
90675bl (1 curve)	1	3- 5- 13+ 31+	0 3- 5- -1 -6 13+ -6 -4
Curve Equation t Generators 90675bl1 [0,0,1,-1761330,-878209794] 1 [-670:1057:1]
90675bm (1 curve)	1	3- 5- 13+ 31+	1 3- 5- -2  1 13+  0  7
Curve Equation t Generators 90675bm1 [1,-1,0,-634617,4917708166] 1 [-408045399326:12501998792788:263374721]
90675bn (2 curves)	1	3- 5- 13+ 31+	-1 3- 5- -2 -4 13+  0  4
Curve Equation t Generators 90675bn1 [1,-1,1,-590,-588] 2 [38:-195:1] 90675bn2 [1,-1,1,2335,-6438] 2 [23:-255:1]
90675bo (1 curve)	1	3- 5- 13+ 31+	-2 3- 5- -2  4 13+  3  1
Curve Equation t Generators 90675bo1 [0,0,1,-17625,910156] 1 [125:812:1]
90675bp (1 curve)	0	3- 5- 13+ 31-	0 3- 5- -1  3 13+  3  0
Curve Equation t 90675bp1 [0,0,1,-195420,-33333944] 1
90675bq (1 curve)	0	3- 5- 13+ 31-	0 3- 5- -2 -2 13+  5  1
Curve Equation t 90675bq1 [0,0,1,-15480,-741319] 1
90675br (1 curve)	0	3- 5- 13+ 31-	0 3- 5-  5 -2 13+ -2  8
Curve Equation t 90675br1 [0,0,1,-70849380,229536721206] 1
90675bs (1 curve)	0	3- 5- 13+ 31-	1 3- 5- -2 -3 13+  4 -7
Curve Equation t 90675bs1 [1,-1,0,-6867,-287834] 1
90675bt (1 curve)	0	3- 5- 13+ 31-	1 3- 5- -4  4 13+  1  0
Curve Equation t 90675bt1 [1,-1,0,-9092367,-10553520834] 1
90675bu (1 curve)	0	3- 5- 13+ 31-	2 3- 5- -4  5 13+ -7  7
Curve Equation t 90675bu1 [0,0,1,-280875,55832881] 1
90675bv (1 curve)	2	3- 5- 13- 31+	0 3- 5-  1 -2 13- -2  0
Curve Equation t Generators 90675bv1 [0,0,1,-120,31] 1 [-11:4:1]&[-5:22:1]
90675bw (1 curve)	0	3- 5- 13- 31+	0 3- 5-  1 -6 13-  6 -4
Curve Equation t 90675bw1 [0,0,1,-44033250,-109776224219] 1
90675bx (1 curve)	0	3- 5- 13- 31+	0 3- 5- -4  4 13-  6  6
Curve Equation t 90675bx1 [0,0,1,-750,49531] 1
90675by (2 curves)	0	3- 5- 13- 31+	1 3- 5-  2 -4 13-  0  4
Curve Equation t 90675by1 [1,-1,0,-14742,-88209] 2 90675by2 [1,-1,0,58383,-746334] 2
90675bz (1 curve)	0	3- 5- 13- 31+	-1 3- 5-  2  1 13-  0  7
Curve Equation t 90675bz1 [1,-1,1,-25385,39346742] 1
90675ca (1 curve)	0	3- 5- 13- 31+	2 3- 5-  2  4 13- -3  1
Curve Equation t 90675ca1 [0,0,1,-705,7281] 1
90675cb (1 curve)	1	3- 5- 13- 31-	0 3- 5-  1  3 13- -3  0
Curve Equation t Generators 90675cb1 [0,0,1,-4885500,-4166742969] 1 [105725:34369312:1]
90675cc (1 curve)	1	3- 5- 13- 31-	0 3- 5-  2 -2 13- -5  1
Curve Equation t Generators 90675cc1 [0,0,1,-387000,-92664844] 1 [4252094150:462816000357:357911]
90675cd (2 curves)	1	3- 5- 13- 31-	0 3- 5-  2  3 13-  0 -4
Curve Equation t Generators 90675cd1 [0,0,1,-750,212031] 1 [-61:175:1] 90675cd2 [0,0,1,-293250,61125156] 3 [-436:10300:1]
90675ce (2 curves)	1	3- 5- 13- 31-	0 3- 5- -4  3 13- -3  5
Curve Equation t Generators 90675ce1 [0,0,1,-509250,130008906] 1 [296:2281:1] 90675ce2 [0,0,1,-40435500,98967440781] 3 [575:275512:1]
90675cf (1 curve)	1	3- 5- 13- 31-	0 3- 5- -5 -2 13-  2  8
Curve Equation t Generators 90675cf1 [0,0,1,-1771234500,28692090150781] 1 [21901:636538:1]
90675cg (1 curve)	1	3- 5- 13- 31-	-1 3- 5-  2 -3 13- -4 -7
Curve Equation t Generators 90675cg1 [1,-1,1,-275,-2248] 1 [24:55:1]

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