Cremona's table of elliptic curves

30912 = 2⁶ · 3 · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
30912a (4 curves)	1	2+ 3+ 7+ 23+	2+ 3+  2 7+  4 -6 -2  0
Curve Equation t Generators 30912a1 [0,-1,0,-372,-1122] 2 [83:730:1] 30912a2 [0,-1,0,-3017,63945] 4 [-40:345:1] 30912a3 [0,-1,0,-257,173793] 2 [-32:385:1] 30912a4 [0,-1,0,-48097,4076065] 2 [129:40:1]
30912b (1 curve)	1	2+ 3+ 7+ 23+	2+ 3+ -4 7+  5  2  0  5
Curve Equation t Generators 30912b1 [0,-1,0,-385,-3269] 1 [2370:21457:27]
30912c (1 curve)	0	2+ 3+ 7+ 23-	2+ 3+  0 7+ -1  6  0 -7
Curve Equation t 30912c1 [0,-1,0,27,3645] 1
30912d (2 curves)	0	2+ 3+ 7+ 23-	2+ 3+  0 7+  2  6  2  6
Curve Equation t 30912d1 [0,-1,0,-33,59553] 2 30912d2 [0,-1,0,-23073,1335969] 2
30912e (4 curves)	0	2+ 3+ 7+ 23-	2+ 3+  2 7+ -4 -2  6  0
Curve Equation t 30912e1 [0,-1,0,-38337,-4700223] 2 30912e2 [0,-1,0,-715457,-232618815] 4 30912e3 [0,-1,0,-818497,-161129663] 2 30912e4 [0,-1,0,-11446337,-14901731775] 2
30912f (4 curves)	2	2+ 3+ 7+ 23-	2+ 3+ -2 7+  0 -2 -6  0
Curve Equation t Generators 30912f1 [0,-1,0,-644,6510] 2 [31:124:1]&[138:123:8] 30912f2 [0,-1,0,-649,6409] 4 [-15:112:1]&[-8:105:1] 30912f3 [0,-1,0,191,21025] 4 [-9:136:1]&[0:145:1] 30912f4 [0,-1,0,-1569,-14751] 2 [-31:56:1]&[-15:72:1]
30912g (1 curve)	0	2+ 3+ 7+ 23-	2+ 3+ -3 7+ -4  3 -4  0
Curve Equation t 30912g1 [0,-1,0,582143,114531841] 1
30912h (2 curves)	0	2+ 3+ 7- 23+	2+ 3+  0 7- -3 -2  0 -5
Curve Equation t 30912h1 [0,-1,0,-1913973,1019843181] 1 30912h2 [0,-1,0,-592053,2392758189] 1
30912i (1 curve)	0	2+ 3+ 7- 23+	2+ 3+  2 7-  1  0  6  1
Curve Equation t 30912i1 [0,-1,0,-2847,61173] 1
30912j (4 curves)	2	2+ 3+ 7- 23+	2+ 3+ -2 7-  0 -6 -6  0
Curve Equation t Generators 30912j1 [0,-1,0,1071,-10287] 2 [11:52:1]&[17:112:1] 30912j2 [0,-1,0,-5409,-86751] 4 [-45:252:1]&[-40:253:1] 30912j3 [0,-1,0,-38529,2860929] 4 [-223:560:1]&[-216:1029:1] 30912j4 [0,-1,0,-75969,-8031807] 2 [-159:48:1]&[-157:28:1]
30912k (2 curves)	0	2+ 3+ 7- 23+	2+ 3+  3 7-  0 -5  0 -8
Curve Equation t 30912k1 [0,-1,0,191,4417] 1 30912k2 [0,-1,0,-1729,-125759] 1
30912l (1 curve)	0	2+ 3+ 7- 23+	2+ 3+ -4 7- -3  2  4  7
Curve Equation t 30912l1 [0,-1,0,-805,-8579] 1
30912m (1 curve)	1	2+ 3+ 7- 23-	2+ 3+  0 7- -1 -2  4  3
Curve Equation t Generators 30912m1 [0,-1,0,7,3] 1 [6:15:1]
30912n (4 curves)	1	2+ 3+ 7- 23-	2+ 3+  0 7- -6 -2 -6 -2
Curve Equation t Generators 30912n1 [0,-1,0,297247,439200609] 2 [7561:659456:1] 30912n2 [0,-1,0,-7167713,7039718241] 2 [-2440:99981:1] 30912n3 [0,-1,0,-2683553,-12068593887] 2 [51706:-3923577:8] 30912n4 [0,-1,0,-97055393,-366208360671] 2 [-5704:42189:1]
30912o (2 curves)	1	2+ 3+ 7- 23-	2+ 3+  2 7-  0  0  0 -2
Curve Equation t Generators 30912o1 [0,-1,0,23,553] 2 [1:24:1] 30912o2 [0,-1,0,-897,10305] 2 [-13:140:1]
30912p (2 curves)	1	2+ 3+ 7- 23-	2+ 3+ -2 7- -4 -4  0 -2
Curve Equation t Generators 30912p1 [0,-1,0,-28329,-2765655] 2 [1263:44436:1] 30912p2 [0,-1,0,-515009,-142053471] 2 [-416:161:1]
30912q (2 curves)	1	2+ 3+ 7- 23-	2+ 3+ -2 7- -4 -4  4 -6
Curve Equation t Generators 30912q1 [0,-1,0,511,-5247] 2 [32:207:1] 30912q2 [0,-1,0,-3169,-48671] 2 [-45:28:1]
30912r (1 curve)	0	2+ 3- 7+ 23+	2+ 3-  0 7+  5  6  4 -7
Curve Equation t 30912r1 [0,1,0,-1013,60627] 1
30912s (2 curves)	0	2+ 3- 7+ 23+	2+ 3-  2 7+  0  0  0  2
Curve Equation t 30912s1 [0,1,0,23,-553] 2 30912s2 [0,1,0,-897,-10305] 2
30912t (2 curves)	0	2+ 3- 7+ 23+	2+ 3-  2 7+  0 -4  0 -6
Curve Equation t 30912t1 [0,1,0,21343,2780607] 2 30912t2 [0,1,0,-214177,33256895] 2
30912u (2 curves)	0	2+ 3- 7+ 23+	2+ 3- -2 7+  4 -4  0  2
Curve Equation t 30912u1 [0,1,0,-28329,2765655] 2 30912u2 [0,1,0,-515009,142053471] 2
30912v (2 curves)	1	2+ 3- 7+ 23-	2+ 3-  0 7+  2  6 -6  6
Curve Equation t Generators 30912v1 [0,1,0,-6273,-359073] 2 [153:1512:1] 30912v2 [0,1,0,-122913,-16618689] 2 [585:10584:1]
30912w (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  2 7+ -1  0  6 -1
Curve Equation t Generators 30912w1 [0,1,0,-2847,-61173] 1 [114:1053:1]
30912x (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  3 7+  0  1 -4  0
Curve Equation t Generators 30912x1 [0,1,0,-1569,-34497] 1 [51:144:1]
30912y (6 curves)	1	2+ 3- 7- 23+	2+ 3-  2 7-  4  2 -6 -4
Curve Equation t Generators 30912y1 [0,1,0,8063,573407] 2 [26:6195:8] 30912y2 [0,1,0,-73857,6586335] 4 [-147:3780:1] 30912y3 [0,1,0,-324737,-64914465] 4 [2955:157440:1] 30912y4 [0,1,0,-1133697,464225247] 2 [267:13440:1] 30912y5 [0,1,0,401023,-313269537] 2 [1770475038:-56761549235:1860867] 30912y6 [0,1,0,-5064577,-4388596513] 2 [-1301:192:1]
30912z (4 curves)	1	2+ 3- 7- 23+	2+ 3- -2 7-  0 -2 -6  0
Curve Equation t Generators 30912z1 [0,1,0,-644,-6510] 2 [795:820:27] 30912z2 [0,1,0,-649,-6409] 4 [83:720:1] 30912z3 [0,1,0,191,-21025] 2 [650:5865:8] 30912z4 [0,1,0,-1569,14751] 4 [-30:189:1]
30912ba (1 curve)	1	2+ 3- 7- 23+	2+ 3- -3 7- -4 -3  0  0
Curve Equation t Generators 30912ba1 [0,1,0,-328417,-72908161] 1 [1331:-43008:1]
30912bb (1 curve)	0	2+ 3- 7- 23-	2+ 3- -1 7-  0  1  4 -4
Curve Equation t 30912bb1 [0,1,0,-39361,-3029089] 1
30912bc (4 curves)	0	2+ 3- 7- 23-	2+ 3-  2 7- -4 -6 -2  0
Curve Equation t 30912bc1 [0,1,0,-372,1122] 2 30912bc2 [0,1,0,-3017,-63945] 4 30912bc3 [0,1,0,-257,-173793] 2 30912bc4 [0,1,0,-48097,-4076065] 2
30912bd (2 curves)	0	2+ 3- 7- 23-	2+ 3- -2 7-  4  4 -4  2
Curve Equation t 30912bd1 [0,1,0,-943649,431338047] 2 30912bd2 [0,1,0,-16016929,24666157631] 2
30912be (2 curves)	0	2+ 3- 7- 23-	2+ 3-  4 7- -2 -2  2  2
Curve Equation t 30912be1 [0,1,0,1119,-3393] 2 30912be2 [0,1,0,-4641,-32193] 2
30912bf (1 curve)	0	2- 3+ 7+ 23+	2- 3+ -1 7+  0  1  4  4
Curve Equation t 30912bf1 [0,-1,0,-39361,3029089] 1
30912bg (1 curve)	0	2- 3+ 7+ 23+	2- 3+ -1 7+  4  1  8  0
Curve Equation t 30912bg1 [0,-1,0,-1,-191] 1
30912bh (4 curves)	0	2- 3+ 7+ 23+	2- 3+  2 7+  4 -2  2  0
Curve Equation t 30912bh1 [0,-1,0,-1972,47170] 2 30912bh2 [0,-1,0,-34777,2507545] 4 30912bh3 [0,-1,0,-38017,2015713] 2 30912bh4 [0,-1,0,-556417,159938497] 4
30912bi (2 curves)	0	2- 3+ 7+ 23+	2- 3+ -2 7+ -4  4 -4 -2
Curve Equation t 30912bi1 [0,-1,0,-943649,-431338047] 2 30912bi2 [0,-1,0,-16016929,-24666157631] 2
30912bj (2 curves)	0	2- 3+ 7+ 23+	2- 3+  4 7+  2 -2  2 -2
Curve Equation t 30912bj1 [0,-1,0,1119,3393] 2 30912bj2 [0,-1,0,-4641,32193] 2
30912bk (6 curves)	1	2- 3+ 7+ 23-	2- 3+  2 7+ -4  2 -6  4
Curve Equation t Generators 30912bk1 [0,-1,0,8063,-573407] 2 [151:2016:1] 30912bk2 [0,-1,0,-73857,-6586335] 4 [109137:488160:343] 30912bk3 [0,-1,0,-324737,64914465] 4 [6573:12880:27] 30912bk4 [0,-1,0,-1133697,-464225247] 2 [-12299080612776:-1187537493205:19946608128] 30912bk5 [0,-1,0,401023,313269537] 2 [661:29440:1] 30912bk6 [0,-1,0,-5064577,4388596513] 2 [5988292:1831207905:64]
30912bl (1 curve)	1	2- 3+ 7+ 23-	2- 3+ -3 7+  4 -3  0  0
Curve Equation t Generators 30912bl1 [0,-1,0,-328417,72908161] 1 [717:14336:1]
30912bm (2 curves)	1	2- 3+ 7- 23+	2- 3+  0 7- -2  6 -6 -6
Curve Equation t Generators 30912bm1 [0,-1,0,-6273,359073] 2 [29:448:1] 30912bm2 [0,-1,0,-122913,16618689] 2 [171:756:1]
30912bn (4 curves)	1	2- 3+ 7- 23+	2- 3+  2 7- -4  2  6 -4
Curve Equation t Generators 30912bn1 [0,-1,0,-292,2002] 2 [-17:42:1] 30912bn2 [0,-1,0,-537,-1575] 4 [29:80:1] 30912bn3 [0,-1,0,1983,-14175] 2 [106:955:8] 30912bn4 [0,-1,0,-6977,-221823] 2 [-47:8:1]
30912bo (1 curve)	1	2- 3+ 7- 23+	2- 3+ -2 7- -3  4  2  1
Curve Equation t Generators 30912bo1 [0,-1,0,-19,-9527] 1 [32:147:1]
30912bp (1 curve)	1	2- 3+ 7- 23+	2- 3+  3 7-  0  1 -4  0
Curve Equation t Generators 30912bp1 [0,-1,0,-1569,34497] 1 [29:112:1]
30912bq (1 curve)	0	2- 3+ 7- 23-	2- 3+  0 7- -5  6  4  7
Curve Equation t 30912bq1 [0,-1,0,-1013,-60627] 1
30912br (1 curve)	0	2- 3+ 7- 23-	2- 3+  1 7-  0  1 -4 -8
Curve Equation t 30912br1 [0,-1,0,-3508545,2530858113] 1
30912bs (2 curves)	0	2- 3+ 7- 23-	2- 3+  2 7-  0 -4  0  6
Curve Equation t 30912bs1 [0,-1,0,21343,-2780607] 2 30912bs2 [0,-1,0,-214177,-33256895] 2
30912bt (1 curve)	0	2- 3+ 7- 23-	2- 3+ -2 7- -5 -4  6  5
Curve Equation t 30912bt1 [0,-1,0,-19,-35] 1
30912bu (1 curve)	1	2- 3- 7+ 23+	2- 3-  0 7+  1 -2  4 -3
Curve Equation t Generators 30912bu1 [0,1,0,7,-3] 1 [12:17:27]
30912bv (4 curves)	1	2- 3- 7+ 23+	2- 3-  0 7+  6 -2 -6  2
Curve Equation t Generators 30912bv1 [0,1,0,297247,-439200609] 2 [874:22113:1] 30912bv2 [0,1,0,-7167713,-7039718241] 2 [7018:536991:1] 30912bv3 [0,1,0,-2683553,12068593887] 2 [-925474:155213331:1331] 30912bv4 [0,1,0,-97055393,366208360671] 2 [265772373038810:-13322105272639527:30167363897]
30912bw (1 curve)	1	2- 3- 7+ 23+	2- 3-  1 7+  0  1 -4  8
Curve Equation t Generators 30912bw1 [0,1,0,-3508545,-2530858113] 1 [2391:52488:1]
30912bx (2 curves)	1	2- 3- 7+ 23+	2- 3- -2 7+  4 -4  4  6
Curve Equation t Generators 30912bx1 [0,1,0,511,5247] 2 [7:96:1] 30912bx2 [0,1,0,-3169,48671] 2 [71:-432:1]
30912by (1 curve)	1	2- 3- 7+ 23+	2- 3- -2 7+  5 -4  6 -5
Curve Equation t Generators 30912by1 [0,1,0,-19,35] 1 [2:3:1]
30912bz (2 curves)	0	2- 3- 7+ 23-	2- 3-  0 7+  3 -2  0  5
Curve Equation t 30912bz1 [0,1,0,-1913973,-1019843181] 1 30912bz2 [0,1,0,-592053,-2392758189] 1
30912ca (4 curves)	0	2- 3- 7+ 23-	2- 3-  2 7+  4  2  6  4
Curve Equation t 30912ca1 [0,1,0,-292,-2002] 2 30912ca2 [0,1,0,-537,1575] 4 30912ca3 [0,1,0,1983,14175] 2 30912ca4 [0,1,0,-6977,221823] 2
30912cb (4 curves)	2	2- 3- 7+ 23-	2- 3- -2 7+  0 -6 -6  0
Curve Equation t Generators 30912cb1 [0,1,0,1071,10287] 2 [-3:84:1]&[-1:96:1] 30912cb2 [0,1,0,-5409,86751] 4 [-75:276:1]&[-33:480:1] 30912cb3 [0,1,0,-38529,-2860929] 2 [-123:180:1]&[-102:135:1] 30912cb4 [0,1,0,-75969,8031807] 4 [-207:3864:1]&[-81:3696:1]
30912cc (1 curve)	0	2- 3- 7+ 23-	2- 3- -2 7+  3  4  2 -1
Curve Equation t 30912cc1 [0,1,0,-19,9527] 1
30912cd (2 curves)	0	2- 3- 7+ 23-	2- 3-  3 7+  0 -5  0  8
Curve Equation t 30912cd1 [0,1,0,191,-4417] 1 30912cd2 [0,1,0,-1729,125759] 1
30912ce (1 curve)	0	2- 3- 7+ 23-	2- 3- -4 7+  3  2  4 -7
Curve Equation t 30912ce1 [0,1,0,-805,8579] 1
30912cf (1 curve)	0	2- 3- 7- 23+	2- 3-  0 7-  1  6  0  7
Curve Equation t 30912cf1 [0,1,0,27,-3645] 1
30912cg (2 curves)	0	2- 3- 7- 23+	2- 3-  0 7- -2  6  2 -6
Curve Equation t 30912cg1 [0,1,0,-33,-59553] 2 30912cg2 [0,1,0,-23073,-1335969] 2
30912ch (4 curves)	0	2- 3- 7- 23+	2- 3-  2 7-  4 -2  6  0
Curve Equation t 30912ch1 [0,1,0,-38337,4700223] 2 30912ch2 [0,1,0,-715457,232618815] 4 30912ch3 [0,1,0,-818497,161129663] 2 30912ch4 [0,1,0,-11446337,14901731775] 2
30912ci (1 curve)	0	2- 3- 7- 23+	2- 3- -3 7-  4  3 -4  0
Curve Equation t 30912ci1 [0,1,0,582143,-114531841] 1
30912cj (1 curve)	1	2- 3- 7- 23-	2- 3- -1 7- -4  1  8  0
Curve Equation t Generators 30912cj1 [0,1,0,-1,191] 1 [7:24:1]
30912ck (4 curves)	1	2- 3- 7- 23-	2- 3-  2 7- -4 -2  2  0
Curve Equation t Generators 30912ck1 [0,1,0,-1972,-47170] 2 [32545:517752:125] 30912ck2 [0,1,0,-34777,-2507545] 4 [341:5040:1] 30912ck3 [0,1,0,-38017,-2015713] 4 [-151:552:1] 30912ck4 [0,1,0,-556417,-159938497] 2 [1169:28080:1]
30912cl (1 curve)	1	2- 3- 7- 23-	2- 3- -4 7- -5  2  0 -5
Curve Equation t Generators 30912cl1 [0,1,0,-385,3269] 1 [-4:69:1]

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