Cremona's table of elliptic curves

85932 = 2² · 3² · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
85932a (1 curve)	1	2- 3+ 7+ 11+ 31-	2- 3+ -1 7+ 11+ -1  2  1
Curve Equation t Generators 85932a1 [0,0,0,-573,9949] 1 [-25:93:1]
85932b (2 curves)	1	2- 3+ 7+ 11+ 31-	2- 3+  2 7+ 11+ -4  2  4
Curve Equation t Generators 85932b1 [0,0,0,-437064,110637697] 2 [-724:6897:1] 85932b2 [0,0,0,-184959,237345670] 2 [-4646583:-49340170:6859]
85932c (2 curves)	1	2- 3+ 7+ 11+ 31-	2- 3+ -2 7+ 11+  6 -6  4
Curve Equation t Generators 85932c1 [0,0,0,-34236,2371329] 2 [84:297:1] 85932c2 [0,0,0,-543591,154260990] 2 [427:46:1]
85932d (1 curve)	0	2- 3+ 7+ 11- 31-	2- 3+  1 7+ 11- -1 -2  1
Curve Equation t 85932d1 [0,0,0,-5157,-268623] 1
85932e (2 curves)	0	2- 3+ 7+ 11- 31-	2- 3+  2 7+ 11-  6  6  4
Curve Equation t 85932e1 [0,0,0,-3804,-87827] 2 85932e2 [0,0,0,-60399,-5713370] 2
85932f (2 curves)	0	2- 3+ 7+ 11- 31-	2- 3+ -2 7+ 11- -4 -2  4
Curve Equation t 85932f1 [0,0,0,-3933576,-2987217819] 2 85932f2 [0,0,0,-1664631,-6408333090] 2
85932g (1 curve)	1	2- 3+ 7- 11+ 31+	2- 3+ -1 7- 11+  3  0  4
Curve Equation t Generators 85932g1 [0,0,0,72,-604] 1 [8:22:1]
85932h (2 curves)	1	2- 3+ 7- 11+ 31+	2- 3+  2 7- 11+  0 -6  4
Curve Equation t Generators 85932h1 [0,0,0,-28628304,-58957837087] 2 [-12209756627348636:-47219637736491:3952555856731] 85932h2 [0,0,0,-28615599,-59012781130] 2 [1457130166284930948028849:-244228623459515519367242290:49997211043114137347]
85932i (2 curves)	0	2- 3+ 7- 11+ 31-	2- 3+  3 7- 11+ -4 -3  8
Curve Equation t 85932i1 [0,0,0,4089,458302] 3 85932i2 [0,0,0,-37071,-12891258] 1
85932j (1 curve)	0	2- 3+ 7- 11+ 31-	2- 3+  3 7- 11+ -7  6 -8
Curve Equation t 85932j1 [0,0,0,624,-3852] 1
85932k (1 curve)	2	2- 3+ 7- 11+ 31-	2- 3+ -3 7- 11+  1  0 -8
Curve Equation t Generators 85932k1 [0,0,0,-156264,23775876] 1 [-456:462:1]&[228:-6:1]
85932l (1 curve)	2	2- 3+ 7- 11+ 31-	2- 3+ -3 7- 11+ -5  0 -5
Curve Equation t Generators 85932l1 [0,0,0,51,-1899] 1 [12:21:1]&[13:31:1]
85932m (1 curve)	0	2- 3+ 7- 11- 31+	2- 3+  1 7- 11-  3  0  4
Curve Equation t 85932m1 [0,0,0,648,16308] 1
85932n (2 curves)	0	2- 3+ 7- 11- 31+	2- 3+ -2 7- 11-  0  6  4
Curve Equation t 85932n1 [0,0,0,-257654736,1591861601349] 2 85932n2 [0,0,0,-257540391,1593345090510] 2
85932o (1 curve)	1	2- 3+ 7- 11- 31-	2- 3+  3 7- 11-  1  0 -8
Curve Equation t Generators 85932o1 [0,0,0,-1406376,-641948652] 1 [6570504:741027231:512]
85932p (1 curve)	1	2- 3+ 7- 11- 31-	2- 3+  3 7- 11- -5  0 -5
Curve Equation t Generators 85932p1 [0,0,0,459,51273] 1 [-8:217:1]
85932q (2 curves)	1	2- 3+ 7- 11- 31-	2- 3+ -3 7- 11- -4  3  8
Curve Equation t Generators 85932q1 [0,0,0,-4119,477454] 3 [-85:462:1] 85932q2 [0,0,0,36801,-12374154] 1 [1986:27783:8]
85932r (1 curve)	1	2- 3+ 7- 11- 31-	2- 3+ -3 7- 11- -7 -6 -8
Curve Equation t Generators 85932r1 [0,0,0,5616,104004] 1 [36:-594:1]
85932s (1 curve)	1	2- 3- 7+ 11+ 31+	2- 3-  1 7+ 11+ -5  2  6
Curve Equation t Generators 85932s1 [0,0,0,21408,385828] 1 [-16:198:1]
85932t (1 curve)	1	2- 3- 7+ 11+ 31+	2- 3-  1 7+ 11+ -5 -2 -1
Curve Equation t Generators 85932t1 [0,0,0,16683,-3870907] 1 [133:837:1]
85932u (1 curve)	1	2- 3- 7+ 11+ 31+	2- 3- -1 7+ 11+  2  1 -6
Curve Equation t Generators 85932u1 [0,0,0,-12423,628126] 1 [35:-486:1]
85932v (1 curve)	2	2- 3- 7+ 11+ 31-	2- 3-  1 7+ 11+ -1 -6 -6
Curve Equation t Generators 85932v1 [0,0,0,-15347352,23173813028] 1 [-896:190278:1]&[1564:54738:1]
85932w (1 curve)	0	2- 3- 7+ 11+ 31-	2- 3-  3 7+ 11+  1  2  6
Curve Equation t 85932w1 [0,0,0,-308496,65960372] 1
85932x (1 curve)	0	2- 3- 7+ 11+ 31-	2- 3- -4 7+ 11+  2  2  1
Curve Equation t 85932x1 [0,0,0,-192,-1055] 1
85932y (2 curves)	2	2- 3- 7+ 11- 31+	2- 3-  0 7+ 11- -2 -2 -8
Curve Equation t Generators 85932y1 [0,0,0,-2280,40273] 2 [56:-297:1]&[-52:135:1] 85932y2 [0,0,0,1185,151846] 2 [35:-486:1]&[75:814:1]
85932z (2 curves)	0	2- 3- 7+ 11- 31+	2- 3- -2 7+ 11- -2  4  8
Curve Equation t 85932z1 [0,0,0,-26126701716,-1655637256150351] 2 85932z2 [0,0,0,-420179674071,-104833600621044370] 2
85932ba (1 curve)	0	2- 3- 7+ 11- 31+	2- 3-  3 7+ 11-  3  2  2
Curve Equation t 85932ba1 [0,0,0,-24350016,46649615812] 1
85932bb (1 curve)	1	2- 3- 7+ 11- 31-	2- 3- -1 7+ 11- -1 -6 -5
Curve Equation t Generators 85932bb1 [0,0,0,-46910433,-123851978759] 1 [11423:911493:1]
85932bc (1 curve)	1	2- 3- 7+ 11- 31-	2- 3-  3 7+ 11- -1  6 -2
Curve Equation t Generators 85932bc1 [0,0,0,-745176,-1891661308] 1 [900620:75700818:125]
85932bd (1 curve)	0	2- 3- 7- 11+ 31+	2- 3- -1 7- 11+  6 -3 -2
Curve Equation t 85932bd1 [0,0,0,85047657,2005496607854] 1
85932be (2 curves)	2	2- 3- 7- 11+ 31+	2- 3- -2 7- 11+ -2 -4 -8
Curve Equation t Generators 85932be1 [0,0,0,5244,426809] 2 [164:-2387:1]&[-41:378:1] 85932be2 [0,0,0,-63111,5498750] 2 [-257:2178:1]&[-137:3402:1]
85932bf (1 curve)	0	2- 3- 7- 11+ 31+	2- 3-  3 7- 11+  1 -2  5
Curve Equation t 85932bf1 [0,0,0,-2721,205693] 1
85932bg (1 curve)	0	2- 3- 7- 11+ 31+	2- 3-  3 7- 11+  6 -3  6
Curve Equation t 85932bg1 [0,0,0,249,-898] 1
85932bh (2 curves)	1	2- 3- 7- 11+ 31-	2- 3-  0 7- 11+  2 -6 -1
Curve Equation t Generators 85932bh1 [0,0,0,-1200,25261] 1 [27:112:1] 85932bh2 [0,0,0,-112080,14442433] 3 [69366:3935543:1331]
85932bi (2 curves)	1	2- 3- 7- 11+ 31-	2- 3- -3 7- 11+  2  3  2
Curve Equation t Generators 85932bi1 [0,0,0,-14694879,-21681889994] 1 [29801210:5099726331:1000] 85932bi2 [0,0,0,-14136519,-23405380994] 3 [5387:238266:1]
85932bj (1 curve)	1	2- 3- 7- 11- 31+	2- 3-  1 7- 11-  1  4 -2
Curve Equation t Generators 85932bj1 [0,0,0,-5592,166052] 1 [136:1386:1]
85932bk (2 curves)	0	2- 3- 7- 11- 31-	2- 3-  0 7- 11-  2  6 -1
Curve Equation t 85932bk1 [0,0,0,-603480,-180568523] 1 85932bk2 [0,0,0,631320,-783113879] 3
85932bl (2 curves)	2	2- 3- 7- 11- 31-	2- 3-  0 7- 11- -4 -6 -4
Curve Equation t Generators 85932bl1 [0,0,0,-2820,-38999] 2 [-40:99:1]&[-25:126:1] 85932bl2 [0,0,0,-40935,-3187298] 2 [-117:22:1]&[254:1674:1]
85932bm (1 curve)	2	2- 3- 7- 11- 31-	2- 3- -3 7- 11- -1  0 -7
Curve Equation t Generators 85932bm1 [0,0,0,-1043409,422341729] 1 [-1165:7533:1]&[881:13671:1]
85932bn (2 curves)	0	2- 3- 7- 11- 31-	2- 3-  4 7- 11-  6  2  0
Curve Equation t 85932bn1 [0,0,0,-22368,-1287155] 2 85932bn2 [0,0,0,-18903,-1699490] 2
85932bo (2 curves)	0	2- 3- 7- 11- 31-	2- 3- -4 7- 11-  4 -2  4
Curve Equation t 85932bo1 [0,0,0,-5052,-53755] 2 85932bo2 [0,0,0,-43167,3414710] 2

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