Cremona's table of elliptic curves

129648 = 2⁴ · 3 · 37 · 73

Class	r	Atkin-Lehner	Eigenvalues
129648a (2 curves)	1	2+ 3+ 37+ 73+	2+ 3+  0  2  2 -6  6  4
Curve Equation t Generators 129648a1 [0,-1,0,-2688,-51120] 2 [134:1406:1] 129648a2 [0,-1,0,-42648,-3375792] 2 [242:646:1]
129648b (2 curves)	0	2+ 3+ 37+ 73-	2+ 3+  0 -2  4  4 -6 -4
Curve Equation t 129648b1 [0,-1,0,-14088,-417024] 2 129648b2 [0,-1,0,40672,-2914080] 2
129648c (2 curves)	2	2+ 3+ 37- 73+	2+ 3+ -2 -4 -6  4 -6 -4
Curve Equation t Generators 129648c1 [0,-1,0,236,1024] 2 [0:32:1]&[5:48:1] 129648c2 [0,-1,0,-1224,10368] 2 [-28:148:1]&[-18:162:1]
129648d (4 curves)	1	2+ 3+ 37- 73-	2+ 3+  2  4  0  2 -2  4
Curve Equation t Generators 129648d1 [0,-1,0,-927,-10530] 2 [-797343620031270:-187388907554016:44947138578875] 129648d2 [0,-1,0,-1332,0] 4 [9848475:21048560:250047] 129648d3 [0,-1,0,5328,-5328] 2 [4673:319448:1] 129648d4 [0,-1,0,-14472,672768] 4 [8280:2496:125]
129648e (2 curves)	0	2+ 3- 37+ 73+	2+ 3-  2 -2  0  0  6 -4
Curve Equation t 129648e1 [0,1,0,-172,-532] 2 129648e2 [0,1,0,-2392,-45820] 2
129648f (2 curves)	1	2+ 3- 37+ 73-	2+ 3-  0  4  0  4 -8 -4
Curve Equation t Generators 129648f1 [0,1,0,-80943,8836812] 2 [228:1512:1] 129648f2 [0,1,0,-81308,8752716] 2 [-86:3888:1]
129648g (1 curve)	1	2+ 3- 37+ 73-	2+ 3-  0 -4 -1 -1  6  2
Curve Equation t Generators 129648g1 [0,1,0,52,-45] 1 [1:3:1]
129648h (2 curves)	1	2+ 3- 37+ 73-	2+ 3- -4 -4 -4  4  4  8
Curve Equation t Generators 129648h1 [0,1,0,-135,504] 2 [24:108:1] 129648h2 [0,1,0,-500,-3876] 2 [-14:24:1]
129648i (1 curve)	0	2+ 3- 37- 73-	2+ 3-  0  2 -5  1 -4  0
Curve Equation t 129648i1 [0,1,0,72,-573] 1
129648j (1 curve)	0	2+ 3- 37- 73-	2+ 3- -2 -1  4  5  7  5
Curve Equation t 129648j1 [0,1,0,-245584,-46951804] 1
129648k (1 curve)	0	2+ 3- 37- 73-	2+ 3-  4  2  1 -1  4  8
Curve Equation t 129648k1 [0,1,0,-116,447] 1
129648l (2 curves)	0	2- 3+ 37+ 73+	2- 3+  2  2  0  4  2  4
Curve Equation t 129648l1 [0,-1,0,-5352,150192] 2 129648l2 [0,-1,0,-85272,9612720] 2
129648m (2 curves)	0	2- 3+ 37+ 73+	2- 3+ -2  2  4  2 -2  2
Curve Equation t 129648m1 [0,-1,0,-1629,13284] 2 129648m2 [0,-1,0,-12564,-529092] 2
129648n (2 curves)	0	2- 3+ 37+ 73+	2- 3+ -2 -2  4  0  6 -4
Curve Equation t 129648n1 [0,-1,0,-139144,-19638032] 2 129648n2 [0,-1,0,-281224,27418864] 2
129648o (2 curves)	0	2- 3+ 37+ 73+	2- 3+  4 -2 -2  6 -6 -4
Curve Equation t 129648o1 [0,-1,0,-130856,18258288] 2 129648o2 [0,-1,0,-148616,13001328] 2
129648p (2 curves)	1	2- 3+ 37- 73+	2- 3+ -2  0 -2 -4  2  0
Curve Equation t Generators 129648p1 [0,-1,0,-1224,33264] 2 [20:128:1] 129648p2 [0,-1,0,-24584,1490928] 2 [52:592:1]
129648q (2 curves)	1	2- 3+ 37- 73+	2- 3+ -2  4  2 -4  2  0
Curve Equation t Generators 129648q1 [0,-1,0,2056,-4092816] 2 [37420455820:1798458497024:16194277] 129648q2 [0,-1,0,-371704,-85422992] 2 [12312212:1181469888:1331]
129648r (2 curves)	1	2- 3+ 37- 73+	2- 3+  4 -2 -4  2 -4  0
Curve Equation t Generators 129648r1 [0,-1,0,-34336,2453248] 2 [37:1110:1] 129648r2 [0,-1,0,-49696,57088] 2 [1866:8395:8]
129648s (2 curves)	0	2- 3+ 37- 73-	2- 3+  2  0  4  0  6  2
Curve Equation t 129648s1 [0,-1,0,-16957,855532] 2 129648s2 [0,-1,0,-18052,739900] 2
129648t (6 curves)	0	2- 3+ 37- 73-	2- 3+ -2  0 -4  6 -6  4
Curve Equation t 129648t1 [0,-1,0,-68304,-2511360] 2 129648t2 [0,-1,0,-593184,174268224] 4 129648t3 [0,-1,0,-120144,444090240] 2 129648t4 [0,-1,0,-9464304,11209941504] 8 129648t5 [0,-1,0,-9437664,11276157888] 4 129648t6 [0,-1,0,-151428864,717284877120] 4
129648u (1 curve)	0	2- 3+ 37- 73-	2- 3+ -2 -3  4  5  7  7
Curve Equation t 129648u1 [0,-1,0,-224,-1536] 1
129648v (1 curve)	1	2- 3- 37+ 73+	2- 3-  2  1  4  1  3 -5
Curve Equation t Generators 129648v1 [0,1,0,1208,-50380] 1 [116:1290:1]
129648w (2 curves)	1	2- 3- 37+ 73+	2- 3- -2  2  0 -2 -2 -2
Curve Equation t Generators 129648w1 [0,1,0,-909,-10854] 2 [3204:17127:64] 129648w2 [0,1,0,-1044,-7560] 2 [183:2442:1]
129648x (2 curves)	1	2- 3- 37+ 73+	2- 3-  4 -4  2  6  0 -4
Curve Equation t Generators 129648x1 [0,1,0,-32736,-2288268] 2 [698:17760:1] 129648x2 [0,1,0,-24096,-3515148] 2 [10956:197830:27]
129648y (2 curves)	2	2- 3- 37+ 73-	2- 3-  0  0 -4 -4  0  4
Curve Equation t Generators 129648y1 [0,1,0,-2168,37140] 2 [-44:222:1]&[-20:270:1] 129648y2 [0,1,0,-5128,-89548] 2 [-52:198:1]&[-34:216:1]
129648z (2 curves)	2	2- 3- 37+ 73-	2- 3-  2  0 -6 -6  0 -4
Curve Equation t Generators 129648z1 [0,1,0,-14232,645012] 2 [12:690:1]&[54:192:1] 129648z2 [0,1,0,-227352,41649300] 2 [276:30:1]&[3658:46305:8]
129648ba (2 curves)	0	2- 3- 37+ 73-	2- 3-  4 -4  0  4  4  0
Curve Equation t 129648ba1 [0,1,0,-416,1332] 2 129648ba2 [0,1,0,-3376,-75628] 2
129648bb (2 curves)	1	2- 3- 37- 73-	2- 3- -2  0  4  4  2 -2
Curve Equation t Generators 129648bb1 [0,1,0,-669,6030] 2 [18:12:1] 129648bb2 [0,1,0,-10524,412056] 2 [651:16428:1]
129648bc (4 curves)	1	2- 3- 37- 73-	2- 3- -2  0  4 -6 -6  0
Curve Equation t Generators 129648bc1 [0,1,0,1336,-67980] 2 [162225449958:967975550976:3892119517] 129648bc2 [0,1,0,-19144,-944524] 4 [41277:1607606:27] 129648bc3 [0,1,0,-66504,5515380] 4 [702:17472:1] 129648bc4 [0,1,0,-299464,-63175564] 2 [93111681:-3426530030:59319]

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