Cremona's table of elliptic curves

31920 = 2⁴ · 3 · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
31920a (4 curves)	1	2+ 3+ 5+ 7+ 19+	2+ 3+ 5+ 7+ -4  6  6 19+
Curve Equation t Generators 31920a1 [0,-1,0,-236,-7584] 2 [49:310:1] 31920a2 [0,-1,0,-7456,-244400] 4 [-50:30:1] 31920a3 [0,-1,0,-11256,35280] 2 [330:5670:1] 31920a4 [0,-1,0,-119176,-15795824] 2 [426:3250:1]
31920b (1 curve)	0	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+  0  4  4 19-
Curve Equation t 31920b1 [0,-1,0,-161,861] 1
31920c (4 curves)	0	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+  0 -6 -6 19-
Curve Equation t 31920c1 [0,-1,0,-10802876,-1624103040] 2 31920c2 [0,-1,0,-126098896,-543884344304] 4 31920c3 [0,-1,0,-80479896,-942703889904] 2 31920c4 [0,-1,0,-2016454216,-34851564975920] 2
31920d (1 curve)	0	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+ -3  5  8 19-
Curve Equation t 31920d1 [0,-1,0,-948176,356098656] 1
31920e (4 curves)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7-  0 -2 -2 19-
Curve Equation t Generators 31920e1 [0,-1,0,-152951,-11970174] 2 [398050430082756:-2505091448828125:894726651456] 31920e2 [0,-1,0,-2106076,-1175251424] 4 [84440:24533256:1] 31920e3 [0,-1,0,-1768576,-1564861424] 4 [1668:11096:1] 31920e4 [0,-1,0,-33693576,-75266891424] 2 [3037263405:880838492122:35937]
31920f (1 curve)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7- -3 -3  1 19-
Curve Equation t Generators 31920f1 [0,-1,0,1064,-66224] 1 [178:-2394:1]
31920g (4 curves)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7-  4 -2  6 19-
Curve Equation t Generators 31920g1 [0,-1,0,-1351,-16874] 2 [1650:9548:27] 31920g2 [0,-1,0,-4996,118720] 4 [224:3192:1] 31920g3 [0,-1,0,8504,637120] 4 [-36:532:1] 31920g4 [0,-1,0,-76816,8220016] 2 [2170:21567:8]
31920h (4 curves)	1	2+ 3+ 5- 7+ 19-	2+ 3+ 5- 7+ -4 -2  6 19-
Curve Equation t Generators 31920h1 [0,-1,0,-540,4800] 2 [20:40:1] 31920h2 [0,-1,0,-1520,-16368] 4 [-26:70:1] 31920h3 [0,-1,0,3800,-110000] 2 [50:450:1] 31920h4 [0,-1,0,-22520,-1293168] 2 [-86:10:1]
31920i (2 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7- -2  2  0 19+
Curve Equation t Generators 31920i1 [0,-1,0,-10960,-426608] 2 [-66:70:1] 31920i2 [0,-1,0,2760,-1436400] 2 [480:-10500:1]
31920j (4 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7-  4  2 -6 19+
Curve Equation t Generators 31920j1 [0,-1,0,100,0] 2 [1:10:1] 31920j2 [0,-1,0,-400,400] 4 [-18:38:1] 31920j3 [0,-1,0,-4200,-102960] 2 [-38:18:1] 31920j4 [0,-1,0,-4600,121360] 2 [42:22:1]
31920k (4 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7- -4  2  2 19+
Curve Equation t Generators 31920k1 [0,-1,0,-9975,386802] 2 [74:220:1] 31920k2 [0,-1,0,-9980,386400] 4 [-20:760:1] 31920k3 [0,-1,0,-6560,651792] 4 [-76:840:1] 31920k4 [0,-1,0,-13480,95200] 2 [205:2430:1]
31920l (2 curves)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7-  6  2 -4 19-
Curve Equation t 31920l1 [0,-1,0,-185545960,-972742198400] 2 31920l2 [0,-1,0,-185532240,-972893261088] 2
31920m (1 curve)	1	2+ 3- 5- 7+ 19+	2+ 3- 5- 7+ -5 -1  0 19+
Curve Equation t Generators 31920m1 [0,1,0,440,2708] 1 [26:180:1]
31920n (6 curves)	0	2+ 3- 5- 7+ 19-	2+ 3- 5- 7+ -4  6  2 19-
Curve Equation t 31920n1 [0,1,0,625,-29400] 2 31920n2 [0,1,0,-11380,-442372] 4 31920n3 [0,1,0,-35880,2076228] 8 31920n4 [0,1,0,-178960,-29199100] 2 31920n5 [0,1,0,77520,12645108] 4 31920n6 [0,1,0,-541280,153089748] 4
31920o (1 curve)	0	2+ 3- 5- 7- 19+	2+ 3- 5- 7-  4  4  8 19+
Curve Equation t 31920o1 [0,1,0,-517825,-143807797] 1
31920p (2 curves)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7- -2 -6  0 19-
Curve Equation t Generators 31920p1 [0,1,0,-3360,44100] 2 [0:210:1] 31920p2 [0,1,0,10360,323988] 2 [-14:420:1]
31920q (3 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+  0 -4  0 19+
Curve Equation t 31920q1 [0,-1,0,779,-7619] 1 31920q2 [0,-1,0,-7861,386365] 1 31920q3 [0,-1,0,-710101,230555101] 1
31920r (4 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+  0 -4 -6 19+
Curve Equation t 31920r1 [0,-1,0,1759,-192720] 2 31920r2 [0,-1,0,-41116,-3039620] 2 31920r3 [0,-1,0,-15881,5291556] 2 31920r4 [0,-1,0,-562756,161916556] 2
31920s (2 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+ -3  5  0 19+
Curve Equation t 31920s1 [0,-1,0,-2136,117360] 1 31920s2 [0,-1,0,-259176,50872176] 1
31920t (2 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+ -3  5  3 19+
Curve Equation t 31920t1 [0,-1,0,-169576,-47213840] 1 31920t2 [0,-1,0,1430984,887119216] 1
31920u (4 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+  4 -6 -2 19+
Curve Equation t 31920u1 [0,-1,0,-103216,12683200] 2 31920u2 [0,-1,0,-185136,-10188864] 4 31920u3 [0,-1,0,692944,-79732800] 2 31920u4 [0,-1,0,-2373936,-1405767744] 2
31920v (4 curves)	1	2- 3+ 5+ 7+ 19-	2- 3+ 5+ 7+ -4 -6 -2 19-
Curve Equation t Generators 31920v1 [0,-1,0,-8456,124656] 2 [-44:640:1] 31920v2 [0,-1,0,-71176,-7201040] 4 [-142:150:1] 31920v3 [0,-1,0,-10696,-19103504] 2 [5906:453750:1] 31920v4 [0,-1,0,-1135176,-465146640] 2 [5946:450522:1]
31920w (4 curves)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7-  0 -6  6 19+
Curve Equation t Generators 31920w1 [0,-1,0,3184,-261120] 2 [64:448:1] 31920w2 [0,-1,0,-46816,-3581120] 4 [-144:392:1] 31920w3 [0,-1,0,-160816,20769280] 4 [354:2842:1] 31920w4 [0,-1,0,-732816,-241211520] 2 [-494:42:1]
31920x (1 curve)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7- -1  1  4 19+
Curve Equation t Generators 31920x1 [0,-1,0,1344,1536] 1 [80:784:1]
31920y (2 curves)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7-  2 -2  4 19+
Curve Equation t Generators 31920y1 [0,-1,0,-11576,482160] 2 [58:50:1] 31920y2 [0,-1,0,-7096,854896] 2 [-62:1026:1]
31920z (4 curves)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7- -4 -2 -2 19+
Curve Equation t Generators 31920z1 [0,-1,0,55384,-51851664] 2 [515336:16372433:512] 31920z2 [0,-1,0,-1792936,-888770960] 4 [-759:5852:1] 31920z3 [0,-1,0,-4772136,2834037360] 2 [3721:191268:1] 31920z4 [0,-1,0,-28386856,-58203987344] 2 [395844:3382225:64]
31920ba (2 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  0  0  2 19-
Curve Equation t 31920ba1 [0,-1,0,-1,-440] 2 31920ba2 [0,-1,0,-876,-9540] 2
31920bb (4 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  0 -6  2 19-
Curve Equation t 31920bb1 [0,-1,0,-47131896,124559043696] 2 31920bb2 [0,-1,0,-47132216,124557268080] 4 31920bb3 [0,-1,0,-45232216,135057428080] 2 31920bb4 [0,-1,0,-49037336,113943463536] 2
31920bc (2 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  2 -2  0 19-
Curve Equation t 31920bc1 [0,-1,0,-33696,-2177280] 2 31920bc2 [0,-1,0,37984,-10262784] 2
31920bd (4 curves)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  0  6  2 19-
Curve Equation t 31920bd1 [0,-1,0,-13902280,19956151600] 2 31920bd2 [0,-1,0,-14094360,19376530992] 4 31920bd3 [0,-1,0,9719640,78168534192] 4 31920bd4 [0,-1,0,-40981640,-76514264400] 2
31920be (6 curves)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  4 -2  2 19-
Curve Equation t 31920be1 [0,-1,0,1120,-9408] 2 31920be2 [0,-1,0,-5360,-76800] 4 31920be3 [0,-1,0,-40640,3112512] 8 31920be4 [0,-1,0,-73760,-7682880] 2 31920be5 [0,-1,0,1360,9194112] 4 31920be6 [0,-1,0,-647120,200582400] 4
31920bf (4 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  0 -2  2 19-
Curve Equation t Generators 31920bf1 [0,-1,0,-210840,37328112] 2 [269:70:1] 31920bf2 [0,-1,0,-231320,29660400] 4 [-500:4480:1] 31920bf3 [0,-1,0,632680,198313200] 4 [-230:6370:1] 31920bf4 [0,-1,0,-1423000,-630053648] 2 [-766:3150:1]
31920bg (1 curve)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  1  1 -4 19-
Curve Equation t Generators 31920bg1 [0,-1,0,2480,78400] 1 [240:3800:1]
31920bh (1 curve)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  1  1  7 19-
Curve Equation t Generators 31920bh1 [0,-1,0,-3045865200,-20844453751483968] 1 [7495012442596105387986:54442693981416378774049578:142048716869233]
31920bi (2 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  4  4 -2 19-
Curve Equation t Generators 31920bi1 [0,-1,0,-2345,78900] 2 [80:-630:1] 31920bi2 [0,-1,0,-45220,3714700] 2 [45:1330:1]
31920bj (1 curve)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7- -4  0  8 19-
Curve Equation t Generators 31920bj1 [0,-1,0,-5,105] 1 [1:10:1]
31920bk (6 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7- -4  6  2 19-
Curve Equation t Generators 31920bk1 [0,-1,0,-161680,-24968768] 2 [63554088:1904224256:59319] 31920bk2 [0,-1,0,-162960,-24552000] 4 [16104:256256:27] 31920bk3 [0,-1,0,49840,-84306240] 2 [938316:17500769:1728] 31920bk4 [0,-1,0,-396240,61854912] 8 [-318:12474:1] 31920bk5 [0,-1,0,1163280,427406400] 4 [-160:15400:1] 31920bk6 [0,-1,0,-5688240,5222613312] 4 [2482:79926:1]
31920bl (2 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7- -6 -6  0 19-
Curve Equation t Generators 31920bl1 [0,-1,0,-400,2752] 2 [-6:70:1] 31920bl2 [0,-1,0,720,14400] 2 [0:120:1]
31920bm (4 curves)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+ -4  2  6 19+
Curve Equation t Generators 31920bm1 [0,1,0,-2016,34164] 2 [27:12:1] 31920bm2 [0,1,0,-2336,22260] 4 [-38:240:1] 31920bm3 [0,1,0,7744,171444] 2 [4:450:1] 31920bm4 [0,1,0,-17536,-883660] 2 [-76:126:1]
31920bn (1 curve)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+  5 -1  0 19+
Curve Equation t Generators 31920bn1 [0,1,0,-3590496,3999729780] 1 [4986:331776:1]
31920bo (4 curves)	0	2- 3- 5+ 7+ 19-	2- 3- 5+ 7+  0  2  6 19-
Curve Equation t 31920bo1 [0,1,0,-107136,-13532940] 2 31920bo2 [0,1,0,-111056,-12493356] 4 31920bo3 [0,1,0,176224,-66157260] 2 31920bo4 [0,1,0,-461056,107766644] 4
31920bp (1 curve)	0	2- 3- 5+ 7+ 19-	2- 3- 5+ 7+ -3  3  8 19-
Curve Equation t 31920bp1 [0,1,0,-10136,903060] 1
31920bq (1 curve)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7- -1  3  4 19+
Curve Equation t 31920bq1 [0,1,0,1300264,-4207667436] 1
31920br (4 curves)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7-  0 -2 -2 19-
Curve Equation t Generators 31920br1 [0,1,0,664,17460] 2 [7:150:1] 31920br2 [0,1,0,-7336,212660] 4 [-28:630:1] 31920br3 [0,1,0,-28936,-1679500] 2 [-106:456:1] 31920br4 [0,1,0,-113736,14725620] 2 [204:234:1]
31920bs (1 curve)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7-  1  5 -3 19-
Curve Equation t Generators 31920bs1 [0,1,0,-139896,20094804] 1 [222:-168:1]
31920bt (2 curves)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7- -6 -2  4 19-
Curve Equation t Generators 31920bt1 [0,1,0,-537548856,-4774938608556] 2 [-12636:10830:1] 31920bt2 [0,1,0,-243947576,-9967805727660] 2 [25324:309054:1]
31920bu (6 curves)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+ -4  6  2 19+
Curve Equation t 31920bu1 [0,1,0,2006080,-329262732] 2 31920bu2 [0,1,0,-8419600,-2702147500] 4 31920bu3 [0,1,0,-77760480,261874914228] 8 31920bu4 [0,1,0,-105889600,-418977023500] 2 31920bu5 [0,1,0,-23464560,620857818900] 4 31920bu6 [0,1,0,-1241510480,16836933414228] 4
31920bv (1 curve)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  5  1 -7 19+
Curve Equation t 31920bv1 [0,1,0,-2009840,-3920909100] 1
31920bw (1 curve)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  0  0 -4 19+
Curve Equation t Generators 31920bw1 [0,1,0,-30485,2056383] 1 [91:210:1]
31920bx (6 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7- -4 -2  2 19+
Curve Equation t Generators 31920bx1 [0,1,0,-14000,-623532] 2 [-31224:43329:512] 31920bx2 [0,1,0,-34480,1596500] 4 [-85:1980:1] 31920bx3 [0,1,0,99920,11112020] 2 [3081:132308:27] 31920bx4 [0,1,0,-496560,134490708] 8 [-324:16170:1] 31920bx5 [0,1,0,-441840,165330900] 4 [-462:16464:1] 31920bx6 [0,1,0,-7944560,8616273108] 4 [2716:84150:1]
31920by (1 curve)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  5  3 -5 19+
Curve Equation t Generators 31920by1 [0,1,0,19000,784500] 1 [190:3360:1]
31920bz (1 curve)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  1  1 -1 19-
Curve Equation t 31920bz1 [0,1,0,-400,-3820] 1
31920ca (1 curve)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  1 -5 -4 19-
Curve Equation t 31920ca1 [0,1,0,-2280,41268] 1
31920cb (4 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  4  2  6 19-
Curve Equation t 31920cb1 [0,1,0,-747640,292843988] 2 31920cb2 [0,1,0,-12544120,17095750100] 4 31920cb3 [0,1,0,-13127800,15416852948] 2 31920cb4 [0,1,0,-200704120,1094349382100] 2
31920cc (6 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  4 -2  2 19-
Curve Equation t 31920cc1 [0,1,0,61280,2382068] 2 31920cc2 [0,1,0,-266400,19552500] 4 31920cc3 [0,1,0,-2309280,-1337736972] 2 31920cc4 [0,1,0,-3466400,2480992500] 8 31920cc5 [0,1,0,-2682400,3634099700] 4 31920cc6 [0,1,0,-55450400,158911245300] 4
31920cd (1 curve)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  4  4 -4 19-
Curve Equation t 31920cd1 [0,1,0,875,46403] 1
31920ce (6 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7- -4 -2  2 19-
Curve Equation t 31920ce1 [0,1,0,-3200,-80652] 2 31920ce2 [0,1,0,-53200,-4740652] 4 31920ce3 [0,1,0,-55200,-4367052] 8 31920ce4 [0,1,0,-851200,-302554252] 2 31920ce5 [0,1,0,89200,-23254572] 4 31920ce6 [0,1,0,-231600,38462868] 4
31920cf (2 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  6  2  2 19-
Curve Equation t 31920cf1 [0,1,0,315,-7350] 2 31920cf2 [0,1,0,-4340,-102312] 2
31920cg (2 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7- -6  2 -4 19-
Curve Equation t 31920cg1 [0,1,0,-28048200,-57184275852] 2 31920cg2 [0,1,0,-28047080,-57189069900] 2

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