Cremona's table of elliptic curves

123975 = 3² · 5² · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
123975a (1 curve)	1	3+ 5+ 19+ 29+	0 3+ 5+  4 -1  4 -4 19+
Curve Equation t Generators 123975a1 [0,0,1,-1800,46281] 1 [45:237:1]
123975b (1 curve)	1	3+ 5+ 19+ 29+	1 3+ 5+ -1  3  4 -7 19+
Curve Equation t Generators 123975b1 [1,-1,0,-1106367,-447541084] 1 [-54965673093507410:43264618740939367:91477804335112]
123975c (1 curve)	1	3+ 5+ 19+ 29+	1 3+ 5+ -1  6  1  2 19+
Curve Equation t Generators 123975c1 [1,-1,0,-666942,234715841] 1 [14662:567669:8]
123975d (1 curve)	0	3+ 5+ 19+ 29-	0 3+ 5+  4  1  4  4 19+
Curve Equation t 123975d1 [0,0,1,-16200,-1249594] 1
123975e (1 curve)	0	3+ 5+ 19+ 29-	-1 3+ 5+ -1 -3  4  7 19+
Curve Equation t 123975e1 [1,-1,1,-122930,16616572] 1
123975f (1 curve)	0	3+ 5+ 19+ 29-	-1 3+ 5+ -1 -6  1 -2 19+
Curve Equation t 123975f1 [1,-1,1,-74105,-8668478] 1
123975g (2 curves)	0	3+ 5+ 19- 29+	-1 3+ 5+  4  6  2  2 19-
Curve Equation t 123975g1 [1,-1,1,-755,7122] 2 123975g2 [1,-1,1,-11630,485622] 2
123975h (2 curves)	1	3+ 5+ 19- 29-	1 3+ 5+  4 -6  2 -2 19-
Curve Equation t Generators 123975h1 [1,-1,0,-6792,-185509] 2 [-89050:370137:2197] 123975h2 [1,-1,0,-104667,-13007134] 2 [-8972263300:3903217599:48228544]
123975i (1 curve)	0	3+ 5- 19+ 29+	-1 3+ 5-  1  3 -4  7 19+
Curve Equation t 123975i1 [1,-1,1,-44255,-3571478] 1
123975j (1 curve)	1	3+ 5- 19+ 29-	1 3+ 5-  1 -3 -4 -7 19+
Curve Equation t Generators 123975j1 [1,-1,0,-4917,133916] 1 [40:-14:1]
123975k (1 curve)	1	3+ 5- 19- 29+	1 3+ 5-  1 -4 -7  8 19-
Curve Equation t Generators 123975k1 [1,-1,0,2523,15506] 1 [70:694:1]
123975l (2 curves)	1	3+ 5- 19- 29+	1 3+ 5- -2 -6  6  6 19-
Curve Equation t Generators 123975l1 [1,-1,0,37758,-4373209] 2 [55129162:3941658169:10648] 123975l2 [1,-1,0,-282867,-46375084] 2 [1087751108862:77388465099707:209584584]
123975m (1 curve)	1	3+ 5- 19- 29+	-1 3+ 5- -1 -4  7 -8 19-
Curve Equation t Generators 123975m1 [1,-1,1,63070,2001322] 1 [-31:140:1]
123975n (2 curves)	1	3+ 5- 19- 29+	-1 3+ 5-  2 -6 -6 -6 19-
Curve Equation t Generators 123975n1 [1,-1,1,1510,-35288] 2 [38:-295:1] 123975n2 [1,-1,1,-11315,-368738] 2 [-71:305:1]
123975o (1 curve)	0	3+ 5- 19- 29-	1 3+ 5- -1  4  7  8 19-
Curve Equation t 123975o1 [1,-1,0,7008,-76459] 1
123975p (2 curves)	0	3+ 5- 19- 29-	1 3+ 5-  2  6 -6  6 19-
Curve Equation t 123975p1 [1,-1,0,168,1251] 2 123975p2 [1,-1,0,-1257,14076] 2
123975q (1 curve)	2	3+ 5- 19- 29-	-1 3+ 5-  1  4 -7 -8 19-
Curve Equation t Generators 123975q1 [1,-1,1,280,-668] 1 [34:-235:1]&[382:2575:8]
123975r (2 curves)	0	3+ 5- 19- 29-	-1 3+ 5- -2  6  6 -6 19-
Curve Equation t 123975r1 [1,-1,1,4195,160572] 2 123975r2 [1,-1,1,-31430,1728072] 2
123975s (1 curve)	0	3- 5+ 19+ 29+	0 3- 5+  1  5  4 -7 19+
Curve Equation t 123975s1 [0,0,1,-6150,-584469] 1
123975t (1 curve)	1	3- 5+ 19+ 29-	0 3- 5+ -4  0 -3  7 19+
Curve Equation t Generators 123975t1 [0,0,1,-450,9281] 1 [-15:112:1]
123975u (1 curve)	1	3- 5+ 19+ 29-	1 3- 5+  2 -2  4 -1 19+
Curve Equation t Generators 123975u1 [1,-1,0,63,166] 1 [18:74:1]
123975v (2 curves)	1	3- 5+ 19+ 29-	-1 3- 5+  4  0  6  0 19+
Curve Equation t Generators 123975v1 [1,-1,1,-538880,-152116878] 2 [85984900508:2411170142295:65450827] 123975v2 [1,-1,1,-506255,-171365628] 2 [144457334:9869721750:29791]
123975w (2 curves)	1	3- 5+ 19+ 29-	-1 3- 5+ -4  0  4  4 19+
Curve Equation t Generators 123975w1 [1,-1,1,698020,28689022] 2 [27796:1287695:64] 123975w2 [1,-1,1,-2817605,232595272] 2 [6209:468145:1]
123975x (2 curves)	1	3- 5+ 19+ 29-	-2 3- 5+  2 -2  1 -7 19+
Curve Equation t Generators 123975x1 [0,0,1,-308325,-83804594] 1 [13315:1535062:1] 123975x2 [0,0,1,-2029575,7842146656] 1 [-860:94612:1]
123975y (2 curves)	1	3- 5+ 19- 29+	0 3- 5+  4  0  1 -3 19-
Curve Equation t Generators 123975y1 [0,0,1,1316059800,36263899526656] 1 [-1483105937890:-91105754284867:73560059] 123975y2 [0,0,1,-56821690200,5224639561292281] 1 [155965:12502237:1]
123975z (1 curve)	1	3- 5+ 19- 29+	1 3- 5+  2 -2  0  3 19-
Curve Equation t Generators 123975z1 [1,-1,0,-427617,111375166] 1 [-462:14728:1]
123975ba (1 curve)	1	3- 5+ 19- 29+	1 3- 5+  4 -1  1  0 19-
Curve Equation t Generators 123975ba1 [1,-1,0,333,16366] 1 [4074:48712:343]
123975bb (1 curve)	1	3- 5+ 19- 29+	-1 3- 5+  1 -3  0  5 19-
Curve Equation t Generators 123975bb1 [1,-1,1,-446540,-14403918] 1 [-265:9366:1]
123975bc (1 curve)	1	3- 5+ 19- 29+	-1 3- 5+ -2  3  5  2 19-
Curve Equation t Generators 123975bc1 [1,-1,1,-2480,-49728] 1 [10830:71596:125]
123975bd (1 curve)	1	3- 5+ 19- 29+	2 3- 5+  1  3  2 -1 19-
Curve Equation t Generators 123975bd1 [0,0,1,-534675,206073031] 1 [2018:74723:8]
123975be (1 curve)	1	3- 5+ 19- 29+	2 3- 5+ -2  6  3 -7 19-
Curve Equation t Generators 123975be1 [0,0,1,-78825,-8531969] 1 [9151610:168199637:17576]
123975bf (1 curve)	1	3- 5+ 19- 29+	-2 3- 5+  1 -1 -2  3 19-
Curve Equation t Generators 123975bf1 [0,0,1,-26175,-1630094] 1 [271:3343:1]
123975bg (4 curves)	0	3- 5+ 19- 29-	1 3- 5+  0  0  2 -2 19-
Curve Equation t 123975bg1 [1,-1,0,1908,11691] 2 123975bg2 [1,-1,0,-8217,102816] 4 123975bg3 [1,-1,0,-72342,-7399809] 2 123975bg4 [1,-1,0,-106092,13315941] 2
123975bh (2 curves)	1	3- 5- 19+ 29+	1 3- 5- -2 -4  0 -2 19+
Curve Equation t Generators 123975bh1 [1,-1,0,-248742,47782791] 2 [-206:9603:1] 123975bh2 [1,-1,0,-299367,26975916] 2 [-1810:73827:8]
123975bi (2 curves)	1	3- 5- 19+ 29+	-1 3- 5-  2 -4  0  2 19+
Curve Equation t Generators 123975bi1 [1,-1,1,-9950,384252] 2 [-22:780:1] 123975bi2 [1,-1,1,-11975,218202] 2 [-27:735:1]
123975bj (1 curve)	2	3- 5- 19+ 29-	-1 3- 5- -2 -2 -4  1 19+
Curve Equation t Generators 123975bj1 [1,-1,1,1570,22322] 1 [-12:46:1]&[-6:115:1]
123975bk (1 curve)	0	3- 5- 19- 29+	1 3- 5- -1 -3  0 -5 19-
Curve Equation t 123975bk1 [1,-1,0,-11163492,-1811653209] 1
123975bl (1 curve)	2	3- 5- 19- 29+	-1 3- 5- -2 -2  0 -3 19-
Curve Equation t Generators 123975bl1 [1,-1,1,-17105,894422] 1 [18:760:1]&[-96:1330:1]
123975bm (1 curve)	1	3- 5- 19- 29-	1 3- 5- -1  1 -2 -7 19-
Curve Equation t Generators 123975bm1 [1,-1,0,-380022,-59335939] 1 [-196:2853:1]
123975bn (1 curve)	1	3- 5- 19- 29-	1 3- 5- -1 -3  6 -3 19-
Curve Equation t Generators 123975bn1 [1,-1,0,-4617,-111834] 1 [-93782:218516:2197]
123975bo (1 curve)	1	3- 5- 19- 29-	-1 3- 5-  1  1  2  7 19-
Curve Equation t Generators 123975bo1 [1,-1,1,-9500555,-7426492928] 1 [-67812:688205:27]
123975bp (1 curve)	1	3- 5- 19- 29-	-1 3- 5-  1 -3 -6  3 19-
Curve Equation t Generators 123975bp1 [1,-1,1,-185,-858] 1 [-6:5:1]
123975bq (1 curve)	1	3- 5- 19- 29-	2 3- 5- -2 -3  0  0 19-
Curve Equation t Generators 123975bq1 [0,0,1,-465375,123563281] 1 [4850:64121:8]
123975br (1 curve)	1	3- 5- 19- 29-	-2 3- 5-  2 -3  0  0 19-
Curve Equation t Generators 123975br1 [0,0,1,-18615,988506] 1 [50:427:1]

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