Cremona's table of elliptic curves

16368 = 2⁴ · 3 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
16368a (2 curves)	0	2+ 3+ 11+ 31-	2+ 3+  0  2 11+  4  6  4
Curve Equation t 16368a1 [0,-1,0,-69608,7058304] 2 16368a2 [0,-1,0,-31168,14777056] 2
16368b (2 curves)	0	2+ 3+ 11- 31+	2+ 3+  0  2 11-  0  2  0
Curve Equation t 16368b1 [0,-1,0,-105248,-13080240] 2 16368b2 [0,-1,0,-66808,-22797872] 2
16368c (1 curve)	0	2+ 3+ 11- 31+	2+ 3+  1  1 11-  6 -4  1
Curve Equation t 16368c1 [0,-1,0,340,-8361] 1
16368d (2 curves)	0	2+ 3+ 11- 31+	2+ 3+  2 -2 11-  4  2 -6
Curve Equation t 16368d1 [0,-1,0,-52,-32] 2 16368d2 [0,-1,0,-672,-6480] 2
16368e (2 curves)	0	2+ 3+ 11- 31+	2+ 3+  2  4 11- -4 -2  0
Curve Equation t 16368e1 [0,-1,0,-27,90] 2 16368e2 [0,-1,0,-492,4368] 2
16368f (2 curves)	1	2+ 3+ 11- 31-	2+ 3+  2  0 11- -4  6  4
Curve Equation t Generators 16368f1 [0,-1,0,-27,-42] 2 [246:530:27] 16368f2 [0,-1,0,28,-240] 2 [32:180:1]
16368g (1 curve)	1	2+ 3+ 11- 31-	2+ 3+ -2  1 11-  4 -3 -6
Curve Equation t Generators 16368g1 [0,-1,0,1576,36048] 1 [2:198:1]
16368h (4 curves)	1	2+ 3+ 11- 31-	2+ 3+ -2  4 11- -2  6  0
Curve Equation t Generators 16368h1 [0,-1,0,-16159,1416154] 2 [-521490:1509452:3375] 16368h2 [0,-1,0,-311404,66960544] 4 [67153:17401230:1] 16368h3 [0,-1,0,-364864,42454480] 2 [120:620:1] 16368h4 [0,-1,0,-4981864,4281583648] 4 [1813503:-469737730:27]
16368i (1 curve)	0	2+ 3- 11+ 31+	2+ 3-  1 -3 11+ -2  4  5
Curve Equation t 16368i1 [0,1,0,-3220,-71413] 1
16368j (4 curves)	0	2+ 3- 11+ 31+	2+ 3- -2  0 11+ -2 -2 -4
Curve Equation t 16368j1 [0,1,0,-199,3620] 2 16368j2 [0,1,0,-5004,134316] 4 16368j3 [0,1,0,-6864,23460] 2 16368j4 [0,1,0,-80024,8686596] 4
16368k (2 curves)	1	2+ 3- 11+ 31-	2+ 3-  2 -4 11+  0  6  0
Curve Equation t Generators 16368k1 [0,1,0,-2067,-29232] 2 [84:630:1] 16368k2 [0,1,0,4588,-172980] 2 [58:540:1]
16368l (2 curves)	1	2+ 3- 11- 31+	2+ 3-  0  4 11-  2 -6 -6
Curve Equation t Generators 16368l1 [0,1,0,-808,-8764] 2 [-16:18:1] 16368l2 [0,1,0,432,-32076] 2 [60:462:1]
16368m (2 curves)	0	2+ 3- 11- 31-	2+ 3-  2  2 11-  0  6  6
Curve Equation t 16368m1 [0,1,0,-1372,19052] 2 16368m2 [0,1,0,-1992,-540] 2
16368n (2 curves)	0	2- 3+ 11+ 31+	2- 3+ -2  2 11+ -4 -6  2
Curve Equation t 16368n1 [0,-1,0,-1012624,-389652032] 2 16368n2 [0,-1,0,-1647504,158376384] 2
16368o (1 curve)	1	2- 3+ 11+ 31-	2- 3+  2 -1 11+  4 -5 -6
Curve Equation t Generators 16368o1 [0,-1,0,-4672,237952] 1 [298:5022:1]
16368p (4 curves)	1	2- 3+ 11+ 31-	2- 3+ -2 -4 11+  2  2  0
Curve Equation t Generators 16368p1 [0,-1,0,256,0] 2 [1:16:1] 16368p2 [0,-1,0,-1024,1024] 4 [-30:62:1] 16368p3 [0,-1,0,-10944,-435456] 2 [-62:30:1] 16368p4 [0,-1,0,-11584,482560] 4 [66:34:1]
16368q (2 curves)	1	2- 3+ 11- 31+	2- 3+ -2  2 11-  0  6  2
Curve Equation t Generators 16368q1 [0,-1,0,-2744,-47760] 2 [-38:14:1] 16368q2 [0,-1,0,-42424,-3349136] 2 [14434:1733886:1]
16368r (1 curve)	1	2- 3+ 11- 31+	2- 3+  3 -3 11- -2  0 -3
Curve Equation t Generators 16368r1 [0,-1,0,6,387] 1 [9:33:1]
16368s (2 curves)	1	2- 3- 11+ 31+	2- 3-  0 -4 11+ -2 -2  6
Curve Equation t Generators 16368s1 [0,1,0,-644248,-199203436] 2 [-460:162:1] 16368s2 [0,1,0,-564888,-250025580] 2 [1212:29106:1]
16368t (1 curve)	1	2- 3- 11+ 31+	2- 3-  2  1 11+  0 -5  2
Curve Equation t Generators 16368t1 [0,1,0,-944152,-353455468] 1 [1142:7680:1]
16368u (2 curves)	1	2- 3- 11+ 31+	2- 3-  2  2 11+ -4  0  6
Curve Equation t Generators 16368u1 [0,1,0,23,50] 2 [-28:405:64] 16368u2 [0,1,0,-132,360] 2 [-9:30:1]
16368v (2 curves)	1	2- 3- 11+ 31+	2- 3- -4  4 11+  6 -2  2
Curve Equation t Generators 16368v1 [0,1,0,-1000,-1996] 2 [-20:102:1] 16368v2 [0,1,0,3960,-11916] 2 [948:11186:27]
16368w (2 curves)	0	2- 3- 11+ 31-	2- 3- -2  2 11+  4 -2 -6
Curve Equation t 16368w1 [0,1,0,-1608344,-761960748] 2 16368w2 [0,1,0,-3991624,2018850356] 2
16368x (2 curves)	0	2- 3- 11- 31+	2- 3-  2 -2 11- -6  4  2
Curve Equation t 16368x1 [0,1,0,-517,20570] 2 16368x2 [0,1,0,-14932,695192] 2
16368y (2 curves)	1	2- 3- 11- 31-	2- 3-  2 -2 11- -2 -4  2
Curve Equation t Generators 16368y1 [0,1,0,-923517,341295030] 2 [15042:3410:27] 16368y2 [0,1,0,-14776332,21857487288] 2 [37795:16496898:125]
16368z (2 curves)	1	2- 3- 11- 31-	2- 3-  2 -2 11-  4  2  2
Curve Equation t Generators 16368z1 [0,1,0,-1552,12308] 2 [-28:186:1] 16368z2 [0,1,0,-11472,-467820] 2 [-60:90:1]
16368ba (6 curves)	1	2- 3- 11- 31-	2- 3- -2  0 11- -2  2 -4
Curve Equation t Generators 16368ba1 [0,1,0,-21504,-1286220] 2 [3582030610325440:83082154230378225:6197058732032] 16368ba2 [0,1,0,-349184,-79536204] 4 [75807776:3513977775:32768] 16368ba3 [0,1,0,-5586944,-5084739660] 2 [1103157123616800:24273372510956303:373248000000] 16368ba4 [0,1,0,-354304,-77088844] 8 [9131:870672:1] 16368ba5 [0,1,0,-1051264,318505652] 4 [3322:183024:1] 16368ba6 [0,1,0,260736,-315970380] 4 [588:6402:1]
16368bb (1 curve)	1	2- 3- 11- 31-	2- 3- -2 -3 11-  4 -7  2
Curve Equation t Generators 16368bb1 [0,1,0,56,-1420] 1 [14:48:1]
16368bc (1 curve)	1	2- 3- 11- 31-	2- 3- -3  3 11- -2 -4  7
Curve Equation t Generators 16368bc1 [0,1,0,-22,-121] 1 [11:33:1]

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