Cremona's table of elliptic curves

57798 = 2 · 3² · 13² · 19

Class	r	Atkin-Lehner	Eigenvalues
57798a (2 curves)	1	2+ 3+ 13+ 19+	2+ 3+  0  0  6 13+  4 19+
Curve Equation t Generators 57798a1 [1,-1,0,-31212,2070992] 2 [61:595:1] 57798a2 [1,-1,0,9348,7043648] 2 [1492:57052:1]
57798b (1 curve)	1	2+ 3+ 13+ 19+	2+ 3+  2  5 -5 13+  4 19+
Curve Equation t Generators 57798b1 [1,-1,0,-60111,5741165] 1 [1094:1481:8]
57798c (2 curves)	0	2+ 3+ 13+ 19-	2+ 3+ -2  0 -2 13+  0 19-
Curve Equation t 57798c1 [1,-1,0,-4848,-11764] 2 57798c2 [1,-1,0,-50478,4359590] 2
57798d (1 curve)	0	2+ 3+ 13+ 19-	2+ 3+ -2 -5  3 13+  0 19-
Curve Equation t 57798d1 [1,-1,0,-383504718,7800689854036] 1
57798e (1 curve)	2	2+ 3+ 13- 19+	2+ 3+ -3 -5 -2 13-  2 19+
Curve Equation t Generators 57798e1 [1,-1,0,-51,261] 1 [10:-31:1]&[-6:21:1]
57798f (1 curve)	1	2+ 3+ 13- 19-	2+ 3+ -3  5 -2 13- -2 19-
Curve Equation t Generators 57798f1 [1,-1,0,-77856,-14704624] 1 [352:1012:1]
57798g (2 curves)	0	2+ 3- 13+ 19+	2+ 3-  0  1  3 13+ -6 19+
Curve Equation t 57798g1 [1,-1,0,-236547,-66805803] 1 57798g2 [1,-1,0,1930878,1035199764] 1
57798h (3 curves)	0	2+ 3- 13+ 19+	2+ 3-  0  1 -6 13+ -3 19+
Curve Equation t 57798h1 [1,-1,0,-23607,-1390635] 1 57798h2 [1,-1,0,14418,-5310252] 1 57798h3 [1,-1,0,-130077,145282437] 1
57798i (1 curve)	0	2+ 3- 13+ 19+	2+ 3-  0  3 -3 13+  2 19+
Curve Equation t 57798i1 [1,-1,0,-20070387,-41644932107] 1
57798j (2 curves)	0	2+ 3- 13+ 19+	2+ 3-  0 -4  4 13+  2 19+
Curve Equation t 57798j1 [1,-1,0,-145287,21347977] 2 57798j2 [1,-1,0,-130077,25980943] 2
57798k (1 curve)	0	2+ 3- 13+ 19+	2+ 3-  2  0  2 13+ -2 19+
Curve Equation t 57798k1 [1,-1,0,228879,115531677] 1
57798l (1 curve)	0	2+ 3- 13+ 19+	2+ 3-  2  0 -6 13+  6 19+
Curve Equation t 57798l1 [1,-1,0,-341496,-76730328] 1
57798m (4 curves)	0	2+ 3- 13+ 19+	2+ 3-  2 -4  4 13+ -2 19+
Curve Equation t 57798m1 [1,-1,0,5799,-58915] 2 57798m2 [1,-1,0,-24621,-466543] 4 57798m3 [1,-1,0,-222351,40068107] 2 57798m4 [1,-1,0,-313611,-67454425] 2
57798n (2 curves)	0	2+ 3- 13+ 19+	2+ 3-  3  1  0 13+  6 19+
Curve Equation t 57798n1 [1,-1,0,12897,17700957] 1 57798n2 [1,-1,0,-4755438,3993191892] 1
57798o (1 curve)	0	2+ 3- 13+ 19+	2+ 3- -3  0  4 13+  1 19+
Curve Equation t 57798o1 [1,-1,0,457029,345178341] 1
57798p (1 curve)	2	2+ 3- 13+ 19+	2+ 3- -3  0 -6 13+ -7 19+
Curve Equation t Generators 57798p1 [1,-1,0,-441,3901] 1 [14:11:1]&[-13:92:1]
57798q (1 curve)	2	2+ 3- 13+ 19+	2+ 3- -3 -3  0 13+  2 19+
Curve Equation t Generators 57798q1 [1,-1,0,18032184,-67226942912] 1 [2688:24344:1]&[26048:4238504:1]
57798r (1 curve)	2	2+ 3- 13+ 19+	2+ 3- -3 -3  0 13+ -5 19+
Curve Equation t Generators 57798r1 [1,-1,0,-93066,10954646] 1 [-2234:32213:8]&[101:-1656:1]
57798s (1 curve)	1	2+ 3- 13+ 19-	2+ 3-  0 -3  5 13+ -2 19-
Curve Equation t Generators 57798s1 [1,-1,0,-792,220104] 1 [75:723:1]
57798t (1 curve)	1	2+ 3- 13+ 19-	2+ 3-  1  1  0 13+  3 19-
Curve Equation t Generators 57798t1 [1,-1,0,18981,-463163] 1 [153:2374:1]
57798u (1 curve)	1	2+ 3- 13+ 19-	2+ 3-  2  2 -4 13+  4 19-
Curve Equation t Generators 57798u1 [1,-1,0,-44901,3776917] 1 [137:359:1]
57798v (4 curves)	1	2+ 3- 13+ 19-	2+ 3- -2  0  0 13+  6 19-
Curve Equation t Generators 57798v1 [1,-1,0,-224600778,1295268019956] 2 [17727645:-208747482:2197] 57798v2 [1,-1,0,-255750858,912738807540] 4 [-13735240142949:18290065709112426:17313676003] 57798v3 [1,-1,0,808705782,6545204672436] 2 [-219159132:164884395018:79507] 57798v4 [1,-1,0,-1818608778,-29201970452940] 2 [-2256022393089253333595581772085:51950855809238796642161276146155:101325490863311991834011987]
57798w (1 curve)	1	2+ 3- 13+ 19-	2+ 3- -2 -2  0 13+  0 19-
Curve Equation t Generators 57798w1 [1,-1,0,27,-545] 1 [11:26:1]
57798x (1 curve)	1	2+ 3- 13- 19+	2+ 3- -2  1  3 13-  4 19+
Curve Equation t Generators 57798x1 [1,-1,0,172602,43340116] 1 [69587:3158546:343]
57798y (1 curve)	1	2+ 3- 13- 19+	2+ 3-  3  1 -2 13- -1 19+
Curve Equation t Generators 57798y1 [1,-1,0,-153828,215736912] 1 [30999:1048016:27]
57798z (2 curves)	0	2- 3+ 13+ 19+	2- 3+  0  0 -6 13+ -4 19+
Curve Equation t 57798z1 [1,-1,1,-280910,-55635875] 2 57798z2 [1,-1,1,84130,-190262627] 2
57798ba (1 curve)	0	2- 3+ 13+ 19+	2- 3+ -2  5  5 13+ -4 19+
Curve Equation t 57798ba1 [1,-1,1,-541001,-154470455] 1
57798bb (2 curves)	1	2- 3+ 13+ 19-	2- 3+  2  0  2 13+  0 19-
Curve Equation t Generators 57798bb1 [1,-1,1,-539,615] 2 [20:1311:64] 57798bb2 [1,-1,1,-5609,-159597] 2 [-3780612:100909:85184]
57798bc (1 curve)	1	2- 3+ 13+ 19-	2- 3+  2 -5 -3 13+  0 19-
Curve Equation t Generators 57798bc1 [1,-1,1,-3451542464,-210615174516509] 1 [167593:-62679031:1]
57798bd (1 curve)	1	2- 3+ 13- 19+	2- 3+  3 -5  2 13- -2 19+
Curve Equation t Generators 57798bd1 [1,-1,1,-461,-6587] 1 [127:1340:1]
57798be (1 curve)	0	2- 3+ 13- 19-	2- 3+  3  5  2 13-  2 19-
Curve Equation t 57798be1 [1,-1,1,-8651,547499] 1
57798bf (4 curves)	1	2- 3- 13+ 19+	2- 3-  0  4  0 13+ -6 19+
Curve Equation t Generators 57798bf1 [1,-1,1,-12200,-36565] 2 [-15:385:1] 57798bf2 [1,-1,1,48640,-328597] 2 [999:31819:1] 57798bf3 [1,-1,1,-651020,202341611] 2 [29460:-1217:64] 57798bf4 [1,-1,1,-635810,212234195] 2 [8874180:-240538567:8000]
57798bg (1 curve)	1	2- 3- 13+ 19+	2- 3- -1  1 -2 13+  0 19+
Curve Equation t Generators 57798bg1 [1,-1,1,28867,-1624827] 1 [101:1470:1]
57798bh (1 curve)	1	2- 3- 13+ 19+	2- 3-  2  2  0 13+  0 19+
Curve Equation t Generators 57798bh1 [1,-1,1,4531,-1183737] 1 [8151065564146042:47721988648418223:77515843238072]
57798bi (1 curve)	1	2- 3- 13+ 19+	2- 3- -2 -2  4 13+  4 19+
Curve Equation t Generators 57798bi1 [1,-1,1,-7588301,8275121781] 1 [2831:95928:1]
57798bj (3 curves)	1	2- 3- 13+ 19+	2- 3- -3  1 -6 13+  0 19+
Curve Equation t Generators 57798bj1 [1,-1,1,19693876,-24960248881] 1 [1557:96565:1] 57798bj2 [1,-1,1,-203710604,1508740417487] 1 [-8973:1621309:1] 57798bj3 [1,-1,1,-18048052184,933245141369519] 1 [568814420835:92819877864017:9938375]
57798bk (1 curve)	0	2- 3- 13+ 19-	2- 3- -1  3  2 13+  0 19-
Curve Equation t 57798bk1 [1,-1,1,-9158,6071433] 1
57798bl (1 curve)	0	2- 3- 13+ 19-	2- 3- -1  3 -4 13+  3 19-
Curve Equation t 57798bl1 [1,-1,1,-1522553,-758444007] 1
57798bm (4 curves)	0	2- 3- 13+ 19-	2- 3-  2  0 -4 13+  6 19-
Curve Equation t 57798bm1 [1,-1,1,-535424,135627171] 2 57798bm2 [1,-1,1,-8322944,9243910563] 4 57798bm3 [1,-1,1,-8079584,9809673891] 2 57798bm4 [1,-1,1,-133166624,591514834083] 2
57798bn (1 curve)	0	2- 3- 13+ 19-	2- 3- -2  0 -2 13+ -2 19-
Curve Equation t 57798bn1 [1,-1,1,38680519,253939135961] 1
57798bo (6 curves)	0	2- 3- 13+ 19-	2- 3- -2  0  4 13+ -2 19-
Curve Equation t 57798bo1 [1,-1,1,-59351,-34879633] 2 57798bo2 [1,-1,1,-2006231,-1088531089] 4 57798bo3 [1,-1,1,-3101351,232183631] 4 57798bo4 [1,-1,1,-32061191,-69866301553] 2 57798bo5 [1,-1,1,12321589,1842338567] 2 57798bo6 [1,-1,1,-36046211,83134629335] 2
57798bp (1 curve)	0	2- 3- 13+ 19-	2- 3- -2  0  6 13+  6 19-
Curve Equation t 57798bp1 [1,-1,1,-2021,-34459] 1
57798bq (1 curve)	0	2- 3- 13+ 19-	2- 3-  3  0 -4 13+  1 19-
Curve Equation t 57798bq1 [1,-1,1,77237869,758588528819] 1
57798br (1 curve)	0	2- 3- 13+ 19-	2- 3-  3  0  6 13+ -7 19-
Curve Equation t 57798br1 [1,-1,1,-74561,8346849] 1
57798bs (1 curve)	0	2- 3- 13+ 19-	2- 3- -3  3  2 13+  4 19-
Curve Equation t 57798bs1 [1,-1,1,-307274,-67596343] 1
57798bt (1 curve)	0	2- 3- 13+ 19-	2- 3-  4  3  1 13+ -2 19-
Curve Equation t 57798bt1 [1,-1,1,-115628,15194729] 1
57798bu (2 curves)	0	2- 3- 13+ 19-	2- 3- -4 -3  2 13+ -3 19-
Curve Equation t 57798bu1 [1,-1,1,-32,-70365] 1 57798bu2 [1,-1,1,-106502,14835435] 1
57798bv (1 curve)	1	2- 3- 13- 19-	2- 3-  2 -1 -3 13-  4 19-
Curve Equation t Generators 57798bv1 [1,-1,1,1021,19491] 1 [23:-246:1]
57798bw (1 curve)	1	2- 3- 13- 19-	2- 3- -3 -1  2 13- -1 19-
Curve Equation t Generators 57798bw1 [1,-1,1,-25996964,473896004807] 1 [-6971:565917:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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