Cremona's table of elliptic curves

7854 = 2 · 3 · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
7854a (4 curves)	1	2+ 3+ 7+ 11+ 17+	2+ 3+ -2 7+ 11+  2 17+  0
Curve Equation t Generators 7854a1 [1,1,0,-366,180] 2 [-4:42:1] 7854a2 [1,1,0,-4286,106020] 4 [-8:378:1] 7854a3 [1,1,0,-68546,6879024] 2 [151:-70:1] 7854a4 [1,1,0,-2746,185176] 2 [-1:434:1]
7854b (2 curves)	0	2+ 3+ 7+ 11+ 17-	2+ 3+  4 7+ 11+ -6 17- -6
Curve Equation t 7854b1 [1,1,0,-3713,-85515] 2 7854b2 [1,1,0,1727,-308555] 2
7854c (2 curves)	1	2+ 3+ 7+ 11- 17-	2+ 3+ -2 7+ 11-  0 17-  0
Curve Equation t Generators 7854c1 [1,1,0,-106186,12969940] 2 [-348:2990:1] 7854c2 [1,1,0,19254,41896404] 2 [185:7107:1]
7854d (2 curves)	1	2+ 3+ 7- 11+ 17-	2+ 3+  0 7- 11+  2 17- -2
Curve Equation t Generators 7854d1 [1,1,0,-280,1648] 2 [-9:64:1] 7854d2 [1,1,0,60,5796] 2 [2:76:1]
7854e (1 curve)	1	2+ 3+ 7- 11+ 17-	2+ 3+ -1 7- 11+ -5 17-  2
Curve Equation t Generators 7854e1 [1,1,0,-38,504] 1 [2:-22:1]
7854f (1 curve)	1	2+ 3+ 7- 11+ 17-	2+ 3+  3 7- 11+ -1 17- -2
Curve Equation t Generators 7854f1 [1,1,0,-3375136,-2388036608] 1 [29688223168:-9150650528:13997521]
7854g (1 curve)	1	2+ 3+ 7- 11- 17+	2+ 3+  1 7- 11- -1 17+  8
Curve Equation t Generators 7854g1 [1,1,0,-48722,4355268] 1 [224:-2290:1]
7854h (2 curves)	0	2+ 3+ 7- 11- 17-	2+ 3+ -2 7- 11- -4 17-  8
Curve Equation t 7854h1 [1,1,0,-2461811,-1487749395] 2 7854h2 [1,1,0,-2453971,-1497685811] 2
7854i (4 curves)	0	2+ 3- 7- 11+ 17-	2+ 3-  2 7- 11+  6 17- -4
Curve Equation t 7854i1 [1,0,1,60,-62] 2 7854i2 [1,0,1,-260,-574] 4 7854i3 [1,0,1,-3340,-74494] 2 7854i4 [1,0,1,-2300,41858] 2
7854j (2 curves)	0	2+ 3- 7- 11- 17+	2+ 3-  3 7- 11-  5 17+  2
Curve Equation t 7854j1 [1,0,1,48,-1022] 3 7854j2 [1,0,1,-6387,-197042] 1
7854k (4 curves)	1	2- 3+ 7+ 11+ 17-	2- 3+ -2 7+ 11+  2 17- -4
Curve Equation t Generators 7854k1 [1,1,1,-914,6431] 4 [7:17:1] 7854k2 [1,1,1,-6034,-177889] 4 [-47:91:1] 7854k3 [1,1,1,-95794,-11451745] 2 [-179:91:1] 7854k4 [1,1,1,1806,-598113] 2 [115:1013:1]
7854l (4 curves)	1	2- 3+ 7+ 11- 17+	2- 3+  2 7+ 11- -2 17+ -8
Curve Equation t Generators 7854l1 [1,1,1,218,-2797] 4 [11:27:1] 7854l2 [1,1,1,-2202,-35709] 4 [253:3833:1] 7854l3 [1,1,1,-33992,-2426317] 2 [284790:3187663:1000] 7854l4 [1,1,1,-9132,296931] 2 [16500:240923:64]
7854m (4 curves)	0	2- 3+ 7- 11- 17+	2- 3+  2 7- 11-  2 17+ -4
Curve Equation t 7854m1 [1,1,1,-672,17841] 2 7854m2 [1,1,1,-15252,717681] 4 7854m3 [1,1,1,-19842,243993] 2 7854m4 [1,1,1,-243942,46272729] 2
7854n (2 curves)	1	2- 3- 7+ 11+ 17+	2- 3-  0 7+ 11+ -2 17+  6
Curve Equation t Generators 7854n1 [1,0,0,-2638,51716] 2 [62:-388:1] 7854n2 [1,0,0,-1278,105300] 2 [18:288:1]
7854o (6 curves)	1	2- 3- 7+ 11- 17-	2- 3- -2 7+ 11- -2 17- -4
Curve Equation t Generators 7854o1 [1,0,0,-18984,1005120] 4 [-48:1368:1] 7854o2 [1,0,0,-20264,861504] 8 [-152:736:1] 7854o3 [1,0,0,-107384,-12816336] 4 [-218:604:1] 7854o4 [1,0,0,46376,5353040] 8 [86:3116:1] 7854o5 [1,0,0,-1692044,-847298292] 2 [-20292:11506:27] 7854o6 [1,0,0,83356,-53367660] 2 [360:4650:1]
7854p (2 curves)	0	2- 3- 7- 11+ 17+	2- 3-  2 7- 11+  4 17+  0
Curve Equation t 7854p1 [1,0,0,-11127,-415035] 2 7854p2 [1,0,0,12883,-1956477] 2
7854q (1 curve)	1	2- 3- 7- 11+ 17-	2- 3- -1 7- 11+ -3 17- -4
Curve Equation t Generators 7854q1 [1,0,0,-251,1809] 1 [-2:49:1]
7854r (2 curves)	1	2- 3- 7- 11+ 17-	2- 3- -3 7- 11+ -1 17-  2
Curve Equation t Generators 7854r1 [1,0,0,139303,-1140039] 3 [52:2473:1] 7854r2 [1,0,0,-1965977,-1126642311] 1 [5140:350377:1]
7854s (1 curve)	1	2- 3- 7- 11- 17+	2- 3- -1 7- 11- -5 17+  0
Curve Equation t Generators 7854s1 [1,0,0,-350636,80632464] 1 [352:-1100:1]
7854t (1 curve)	1	2- 3- 7- 11- 17+	2- 3- -3 7- 11-  1 17+ -2
Curve Equation t Generators 7854t1 [1,0,0,3958,104484] 1 [178:2452:1]

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