Cremona's table of elliptic curves

113925 = 3 · 5² · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
113925a (1 curve)	1	3+ 5+ 7+ 31+	1 3+ 5+ 7+ -2  6  4  4
Curve Equation t Generators 113925a1 [1,1,0,2142500,-1455546875] 1 [2344063255890362996990223468:118776497150930778791067112685:1239361464188639907596447]
113925b (1 curve)	1	3+ 5+ 7+ 31+	-2 3+ 5+ 7+  3  0  3 -1
Curve Equation t Generators 113925b1 [0,-1,1,-408,-1282] 1 [-8:37:1]
113925c (2 curves)	0	3+ 5+ 7+ 31-	0 3+ 5+ 7+  3  4  3 -1
Curve Equation t 113925c1 [0,-1,1,-92283,8561468] 1 113925c2 [0,-1,1,-2370783,-1403538907] 1
113925d (1 curve)	0	3+ 5+ 7+ 31-	1 3+ 5+ 7+ -2  5 -2 -5
Curve Equation t 113925d1 [1,1,0,14675,-963500] 1
113925e (1 curve)	0	3+ 5+ 7+ 31-	1 3+ 5+ 7+ -5  2  7  4
Curve Equation t 113925e1 [1,1,0,-946215,131234580] 1
113925f (1 curve)	2	3+ 5+ 7+ 31-	-1 3+ 5+ 7+ -2 -2  0 -4
Curve Equation t Generators 113925f1 [1,1,1,3037,305906] 1 [-410:1301:8]&[20:-623:1]
113925g (1 curve)	2	3+ 5+ 7+ 31-	-1 3+ 5+ 7+ -5 -2  3 -4
Curve Equation t Generators 113925g1 [1,1,1,-24893,1137926] 1 [134:-548:1]&[-218:10829:8]
113925h (1 curve)	0	3+ 5+ 7+ 31-	-2 3+ 5+ 7+  1  2 -5 -5
Curve Equation t 113925h1 [0,-1,1,-465908,-122231782] 1
113925i (1 curve)	0	3+ 5+ 7- 31+	0 3+ 5+ 7-  1  4  3  1
Curve Equation t 113925i1 [0,-1,1,-933,-232] 1
113925j (1 curve)	0	3+ 5+ 7- 31+	0 3+ 5+ 7- -3  2  7 -1
Curve Equation t 113925j1 [0,-1,1,-12413,-278377] 1
113925k (1 curve)	2	3+ 5+ 7- 31+	0 3+ 5+ 7- -3  4 -7 -3
Curve Equation t Generators 113925k1 [0,-1,1,-163,-57] 1 [-86:143:8]&[-9:24:1]
113925l (1 curve)	0	3+ 5+ 7- 31+	0 3+ 5+ 7-  5  0  5 -7
Curve Equation t 113925l1 [0,-1,1,-12168333,-16333770307] 1
113925m (4 curves)	0	3+ 5+ 7- 31+	1 3+ 5+ 7-  0  2 -2  4
Curve Equation t 113925m1 [1,1,0,-171525,24345000] 2 113925m2 [1,1,0,-667650,-184523625] 4 113925m3 [1,1,0,1041225,-972315000] 2 113925m4 [1,1,0,-10314525,-12754401750] 2
113925n (2 curves)	0	3+ 5+ 7- 31+	1 3+ 5+ 7-  2  2  2  4
Curve Equation t 113925n1 [1,1,0,-1075,13000] 2 113925n2 [1,1,0,-1950,-12375] 2
113925o (1 curve)	0	3+ 5+ 7- 31+	1 3+ 5+ 7- -2  0  7  8
Curve Equation t 113925o1 [1,1,0,-760,-8735] 1
113925p (6 curves)	0	3+ 5+ 7- 31+	1 3+ 5+ 7-  4 -2 -6 -4
Curve Equation t 113925p1 [1,1,0,-23177025,-42956838000] 2 113925p2 [1,1,0,-23183150,-42933005625] 4 113925p3 [1,1,0,-17395025,-64887363750] 2 113925p4 [1,1,0,-29069275,-19453253000] 4 113925p5 [1,1,0,109349600,-151089603125] 2 113925p6 [1,1,0,-261666150,1615004987625] 2
113925q (4 curves)	0	3+ 5+ 7- 31+	1 3+ 5+ 7-  4 -6 -2 -4
Curve Equation t 113925q1 [1,1,0,-7081750,7209184375] 2 113925q2 [1,1,0,-11546875,-2984696000] 4 113925q3 [1,1,0,45176750,-23575371875] 2 113925q4 [1,1,0,-139712500,-634713061625] 2
113925r (2 curves)	0	3+ 5+ 7- 31+	1 3+ 5+ 7- -4  2  2 -8
Curve Equation t 113925r1 [1,1,0,-86523000,-309810403125] 2 113925r2 [1,1,0,-86394375,-310777277250] 2
113925s (1 curve)	2	3+ 5+ 7- 31+	1 3+ 5+ 7- -5  4  3 -4
Curve Equation t Generators 113925s1 [1,1,0,-25,-20] 1 [-42:29:8]&[-4:8:1]
113925t (2 curves)	0	3+ 5+ 7- 31+	-1 3+ 5+ 7-  2  0 -4 -4
Curve Equation t 113925t1 [1,1,1,-86959713,319087448406] 2 113925t2 [1,1,1,-1400006588,20161851823406] 2
113925u (2 curves)	0	3+ 5+ 7- 31+	-1 3+ 5+ 7- -4  0  2  8
Curve Equation t 113925u1 [1,1,1,-9213,-821094] 2 113925u2 [1,1,1,-199088,-34239094] 2
113925v (1 curve)	0	3+ 5+ 7- 31+	2 3+ 5+ 7- -1  6 -1  5
Curve Equation t 113925v1 [0,-1,1,-2858,59723] 1
113925w (1 curve)	0	3+ 5+ 7- 31+	2 3+ 5+ 7- -4  5  0  4
Curve Equation t 113925w1 [0,-1,1,-3908,95843] 1
113925x (2 curves)	0	3+ 5+ 7- 31+	-2 3+ 5+ 7- -3 -4  7 -5
Curve Equation t 113925x1 [0,-1,1,-1886418,-989333332] 1 113925x2 [0,-1,1,-98622708,376993854068] 1
113925y (1 curve)	0	3+ 5+ 7- 31+	-2 3+ 5+ 7- -4 -7 -4 -8
Curve Equation t 113925y1 [0,-1,1,495192,134804018] 1
113925z (1 curve)	0	3+ 5+ 7- 31+	-2 3+ 5+ 7- -5 -6 -5  5
Curve Equation t 113925z1 [0,-1,1,-3110438,-877178212] 1
113925ba (2 curves)	1	3+ 5+ 7- 31-	-1 3+ 5+ 7-  2 -2  2 -8
Curve Equation t Generators 113925ba1 [1,1,1,-4313,-61594] 2 [-36:238:1] 113925ba2 [1,1,1,14062,-429094] 2 [139:1988:1]
113925bb (2 curves)	1	3+ 5+ 7- 31-	-1 3+ 5+ 7-  2  4  8  4
Curve Equation t Generators 113925bb1 [1,1,1,-6855738,6930596406] 2 [1210:19607:1] 113925bb2 [1,1,1,-109798613,442790729156] 2 [5111:120545:1]
113925bc (1 curve)	1	3+ 5- 7+ 31-	1 3+ 5- 7+  0  2  2 -6
Curve Equation t Generators 113925bc1 [1,1,0,-515,23850] 1 [34:200:1]
113925bd (1 curve)	1	3+ 5- 7+ 31-	-1 3+ 5- 7+ -5  4  3  4
Curve Equation t Generators 113925bd1 [1,1,1,-31263,391656] 1 [2094:94463:1]
113925be (2 curves)	1	3+ 5- 7- 31+	0 3+ 5- 7-  3 -2  3 -5
Curve Equation t Generators 113925be1 [0,-1,1,-155983,-23659707] 1 [873:22466:1] 113925be2 [0,-1,1,-229483,915018] 1 [1272:42017:1]
113925bf (2 curves)	1	3+ 5- 7- 31+	0 3+ 5- 7-  3  4 -3  1
Curve Equation t Generators 113925bf1 [0,-1,1,-1253583,-228079132] 1 [-485046:12855790:729] 113925bf2 [0,-1,1,-52519833,146509257593] 1 [-133971:14411989:27]
113925bg (2 curves)	1	3+ 5- 7- 31+	0 3+ 5- 7- -3 -2 -3  7
Curve Equation t Generators 113925bg1 [0,-1,1,-334833,37105193] 1 [-37:7031:1] 113925bg2 [0,-1,1,-23119833,42796005818] 1 [-58:210087:1]
113925bh (1 curve)	1	3+ 5- 7- 31+	1 3+ 5- 7- -5 -2  3  4
Curve Equation t Generators 113925bh1 [1,1,0,-30493950,-49245994125] 1 [3175434182013877435756044593157650747637203966:8042706558841186333743050502063467991687913543419:494804009529391493493890206081904367919]
113925bi (1 curve)	1	3+ 5- 7- 31+	-1 3+ 5- 7-  0  2  2  6
Curve Equation t Generators 113925bi1 [1,1,1,-631513,-1032038344] 1 [459904381717070:51567683416825547:36100597625]
113925bj (1 curve)	1	3+ 5- 7- 31+	-1 3+ 5- 7- -2  5 -2  5
Curve Equation t Generators 113925bj1 [1,1,1,28762,2672606] 1 [14:1747:1]
113925bk (1 curve)	1	3+ 5- 7- 31+	-1 3+ 5- 7- -5  2  7 -4
Curve Equation t Generators 113925bk1 [1,1,1,-482763,-48170844] 1 [274998570:9945641333:166375]
113925bl (1 curve)	1	3+ 5- 7- 31+	-2 3+ 5- 7- -5  4  3  7
Curve Equation t Generators 113925bl1 [0,-1,1,-27358,-1561932] 1 [-72:171:1]
113925bm (1 curve)	0	3+ 5- 7- 31-	-1 3+ 5- 7-  2  4  3  4
Curve Equation t 113925bm1 [1,1,1,16512,-2776194] 1
113925bn (1 curve)	0	3+ 5- 7- 31-	2 3+ 5- 7-  1  6  1 -1
Curve Equation t 113925bn1 [0,-1,1,-206208,35561693] 1
113925bo (1 curve)	0	3+ 5- 7- 31-	2 3+ 5- 7-  5 -2 -3  7
Curve Equation t 113925bo1 [0,-1,1,-27358,-1073157] 1
113925bp (1 curve)	1	3- 5+ 7+ 31-	0 3- 5+ 7+  1 -4 -3 -1
Curve Equation t Generators 113925bp1 [0,1,1,-45733,170944] 1 [-82:-1838:1]
113925bq (1 curve)	1	3- 5+ 7+ 31-	1 3- 5+ 7+ -5 -4 -3  4
Curve Equation t Generators 113925bq1 [1,0,1,-1251,3133] 1 [53:267:1]
113925br (3 curves)	1	3- 5+ 7- 31+	0 3- 5+ 7-  0  5  0 -2
Curve Equation t Generators 113925br1 [0,1,1,27767,3882694] 1 [2:1984:1] 113925br2 [0,1,1,-1295233,567976819] 1 [527:5659:1] 113925br3 [0,1,1,-104966983,413895281944] 1 [29057726:232817:4913]
113925bs (2 curves)	1	3- 5+ 7- 31+	0 3- 5+ 7-  3  2 -3 -5
Curve Equation t Generators 113925bs1 [0,1,1,-3899583,-2965262506] 1 [-1518396:177866:1331] 113925bs2 [0,1,1,-5737083,102903119] 1 [-5334157343471:330614694974441:4582567781]
113925bt (2 curves)	1	3- 5+ 7- 31+	0 3- 5+ 7-  3 -4  3  1
Curve Equation t Generators 113925bt1 [0,1,1,-31339583,-28572570631] 1 [6127:97240:1] 113925bt2 [0,1,1,-1312995833,18311031207494] 1 [7537223822:6891640640:357911]
113925bu (2 curves)	1	3- 5+ 7- 31+	0 3- 5+ 7-  3 -4 -3  1
Curve Equation t Generators 113925bu1 [0,1,1,-4521883,-2927539856] 1 [-11123398:82082458:6859] 113925bu2 [0,1,1,-116168383,481646181769] 1 [-256534658176046357673:24921731140868158383223:28152448678201329]
113925bv (2 curves)	1	3- 5+ 7- 31+	0 3- 5+ 7- -3  2  3  7
Curve Equation t Generators 113925bv1 [0,1,1,-13393,291484] 1 [2:514:1] 113925bv2 [0,1,1,-924793,341998129] 1 [401823:108881:729]
113925bw (1 curve)	1	3- 5+ 7- 31+	1 3- 5+ 7- -2 -5  2  5
Curve Equation t Generators 113925bw1 [1,0,1,719049,332637673] 1 [614663:29152131:343]
113925bx (1 curve)	1	3- 5+ 7- 31+	1 3- 5+ 7- -5 -2 -7 -4
Curve Equation t Generators 113925bx1 [1,0,1,-19311,-385367] 1 [293:4227:1]
113925by (1 curve)	1	3- 5+ 7- 31+	-1 3- 5+ 7- -2  2  0  4
Curve Equation t Generators 113925by1 [1,0,0,62,-883] 1 [13:40:1]
113925bz (2 curves)	1	3- 5+ 7- 31+	-1 3- 5+ 7- -2 -4  0  4
Curve Equation t Generators 113925bz1 [1,0,0,4262,216467] 2 [11:-520:1] 113925bz2 [1,0,0,-38613,2488842] 2 [207:-1941:1]
113925ca (1 curve)	1	3- 5+ 7- 31+	-1 3- 5+ 7- -5  2 -3  4
Curve Equation t Generators 113925ca1 [1,0,0,-1219758,-393967953] 1 [1251:5565:1]
113925cb (1 curve)	1	3- 5+ 7- 31+	2 3- 5+ 7- -5 -4 -3  7
Curve Equation t Generators 113925cb1 [0,1,1,-683958,-196609381] 1 [-4758:3083:8]
113925cc (1 curve)	1	3- 5+ 7- 31+	-2 3- 5+ 7-  1 -2  5  5
Curve Equation t Generators 113925cc1 [0,1,1,-9508,353644] 1 [53:37:1]
113925cd (4 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7-  0 -6  6  4
Curve Equation t 113925cd1 [1,0,1,44074,3605123] 2 113925cd2 [1,0,1,-256051,34217873] 4 113925cd3 [1,0,1,-1585176,-741991127] 2 113925cd4 [1,0,1,-3728926,2770843373] 2
113925ce (2 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7-  2 -2 -2 -4
Curve Equation t 113925ce1 [1,0,1,-52701,-4617077] 2 113925ce2 [1,0,1,-95576,3957923] 2
113925cf (1 curve)	0	3- 5+ 7- 31-	1 3- 5+ 7-  2 -4 -3  4
Curve Equation t 113925cf1 [1,0,1,412799,-347849827] 1
113925cg (1 curve)	2	3- 5+ 7- 31-	1 3- 5+ 7- -2 -6 -4 -4
Curve Equation t Generators 113925cg1 [1,0,1,43724,4249823] 1 [-83:266:1]&[-394:11443:8]
113925ch (6 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7-  4  6  2 -4
Curve Equation t 113925ch1 [1,0,1,-802401,-497699177] 2 113925ch2 [1,0,1,-15508526,-23498078677] 4 113925ch3 [1,0,1,-18209651,-14751835927] 4 113925ch4 [1,0,1,-248105401,-1504209784927] 2 113925ch5 [1,0,1,62180974,-109612773427] 2 113925ch6 [1,0,1,-141818276,639879442073] 2
113925ci (4 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7- -4  2 -6  4
Curve Equation t 113925ci1 [1,0,1,-12276,520573] 2 113925ci2 [1,0,1,-18401,-55177] 4 113925ci3 [1,0,1,73474,-422677] 2 113925ci4 [1,0,1,-208276,-36511177] 2
113925cj (2 curves)	0	3- 5+ 7- 31-	1 3- 5+ 7- -4 -2 -2  8
Curve Equation t 113925cj1 [1,0,1,-1765776,902985073] 2 113925cj2 [1,0,1,-1763151,905804323] 2
113925ck (2 curves)	0	3- 5+ 7- 31-	-1 3- 5+ 7-  6  0 -4 -4
Curve Equation t 113925ck1 [1,0,0,5056162,1639991667] 2 113925ck2 [1,0,0,-21740713,13564601042] 2
113925cl (1 curve)	0	3- 5+ 7- 31-	2 3- 5+ 7- -4 -5  0 -4
Curve Equation t 113925cl1 [0,1,1,-191508,-32491231] 1
113925cm (1 curve)	2	3- 5+ 7- 31-	-2 3- 5+ 7-  1 -6 -1 -1
Curve Equation t Generators 113925cm1 [0,1,1,-8248,281194] 1 [-103:220:1]&[2:514:1]
113925cn (1 curve)	0	3- 5+ 7- 31-	-2 3- 5+ 7-  3  0 -3  1
Curve Equation t 113925cn1 [0,1,1,-20008,479644] 1
113925co (1 curve)	0	3- 5+ 7- 31-	-2 3- 5+ 7- -4  7  4  8
Curve Equation t 113925co1 [0,1,1,24264392,-46286307056] 1
113925cp (1 curve)	0	3- 5+ 7- 31-	-2 3- 5+ 7-  5  2  3  7
Curve Equation t 113925cp1 [0,1,1,-683958,-135512506] 1
113925cq (1 curve)	2	3- 5- 7+ 31-	1 3- 5- 7+ -5  2 -3 -4
Curve Equation t Generators 113925cq1 [1,0,1,-622326,143485423] 1 [827:-14364:1]&[-4234:146263:8]
113925cr (1 curve)	2	3- 5- 7+ 31-	-1 3- 5- 7+  0 -2 -2 -6
Curve Equation t Generators 113925cr1 [1,0,0,-12888,3007017] 1 [-169:689:1]&[-48:1899:1]
113925cs (1 curve)	2	3- 5- 7+ 31-	-1 3- 5- 7+ -2 -5  2 -5
Curve Equation t Generators 113925cs1 [1,0,0,587,-7708] 1 [11:5:1]&[137:1559:1]
113925ct (1 curve)	2	3- 5- 7+ 31-	-1 3- 5- 7+ -5 -2 -7  4
Curve Equation t Generators 113925ct1 [1,0,0,-23655388,16451633267] 1 [5051:158219:1]&[-31034:1801567:8]
113925cu (1 curve)	2	3- 5- 7- 31+	0 3- 5- 7- -3 -2 -7 -1
Curve Equation t Generators 113925cu1 [0,1,1,-310333,-35417756] 1 [758:-12863:1]&[-418:4630:1]
113925cv (1 curve)	0	3- 5- 7- 31+	0 3- 5- 7- -3 -4  7 -3
Curve Equation t 113925cv1 [0,1,1,-4083,-15256] 1
113925cw (1 curve)	0	3- 5- 7- 31+	0 3- 5- 7-  5  0 -5 -7
Curve Equation t 113925cw1 [0,1,1,-486733,-130864856] 1
113925cx (1 curve)	0	3- 5- 7- 31+	1 3- 5- 7-  0 -2 -2  6
Curve Equation t 113925cx1 [1,0,1,-25261,-8256307] 1
113925cy (1 curve)	0	3- 5- 7- 31+	-1 3- 5- 7- -2  0 -7  8
Curve Equation t 113925cy1 [1,0,0,-19013,-1053858] 1
113925cz (1 curve)	2	3- 5- 7- 31+	-1 3- 5- 7- -5 -4 -3 -4
Curve Equation t Generators 113925cz1 [1,0,0,-638,-1233] 1 [-23:49:1]&[-34:317:8]
113925da (2 curves)	0	3- 5- 7- 31+	2 3- 5- 7- -3  4 -7 -5
Curve Equation t 113925da1 [0,1,1,-3944908,3014372869] 1 113925da2 [0,1,1,-47160458,-123760987381] 1
113925db (1 curve)	0	3- 5- 7- 31+	2 3- 5- 7- -5  6  5  5
Curve Equation t 113925db1 [0,1,1,-77760958,-109802798381] 1
113925dc (1 curve)	2	3- 5- 7- 31+	-2 3- 5- 7- -1 -6  1  5
Curve Equation t Generators 113925dc1 [0,1,1,-71458,7322494] 1 [-292:1837:1]&[58:1837:1]

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