Cremona's table of elliptic curves

72072 = 2³ · 3² · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
72072a (2 curves)	0	2+ 3+ 7+ 11- 13+	2+ 3+  0 7+ 11- 13+ -2  4
Curve Equation t 72072a1 [0,0,0,-3975,-90886] 2 72072a2 [0,0,0,3285,-385642] 2
72072b (2 curves)	1	2+ 3+ 7+ 11- 13-	2+ 3+  0 7+ 11- 13- -6 -4
Curve Equation t Generators 72072b1 [0,0,0,30,-999] 2 [12:33:1] 72072b2 [0,0,0,-1335,-18198] 2 [-21:24:1]
72072c (2 curves)	1	2+ 3+ 7+ 11- 13-	2+ 3+  2 7+ 11- 13-  6  0
Curve Equation t Generators 72072c1 [0,0,0,-39339,2998998] 2 [-1758:8127:8] 72072c2 [0,0,0,-27459,4845150] 2 [-583282:2848105:2744]
72072d (2 curves)	0	2+ 3+ 7- 11+ 13+	2+ 3+ -4 7- 11+ 13+  6 -4
Curve Equation t 72072d1 [0,0,0,-6642,50243625] 2 72072d2 [0,0,0,-2082807,1140230250] 2
72072e (1 curve)	1	2+ 3+ 7- 11+ 13-	2+ 3+  0 7- 11+ 13- -4 -2
Curve Equation t Generators 72072e1 [0,0,0,-30540,-2306124] 1 [402:-7098:1]
72072f (2 curves)	0	2+ 3+ 7- 11- 13-	2+ 3+  2 7- 11- 13-  8  8
Curve Equation t 72072f1 [0,0,0,-17499,904230] 2 72072f2 [0,0,0,-281139,57375918] 2
72072g (2 curves)	0	2+ 3- 7+ 11+ 13+	2+ 3-  4 7+ 11+ 13+ -2  8
Curve Equation t 72072g1 [0,0,0,-1083,-11450] 2 72072g2 [0,0,0,-5043,127150] 2
72072h (4 curves)	1	2+ 3- 7+ 11+ 13-	2+ 3- -2 7+ 11+ 13-  2 -4
Curve Equation t Generators 72072h1 [0,0,0,-63066,6095945] 4 [161:340:1] 72072h2 [0,0,0,-63111,6086810] 4 [7:2376:1] 72072h3 [0,0,0,-37371,11095814] 2 [46:3078:1] 72072h4 [0,0,0,-89571,493166] 2 [-185:3276:1]
72072i (4 curves)	1	2+ 3- 7+ 11+ 13-	2+ 3- -2 7+ 11+ 13- -6  8
Curve Equation t Generators 72072i1 [0,0,0,-21226791,-37833424774] 2 [6989258932154924875240:-612641831470194820167549:689026915676224000] 72072i2 [0,0,0,-340107771,-2414198263930] 4 [-30487920456980:-743801840379:2863288000] 72072i3 [0,0,0,-340586931,-2407054659154] 2 [-1269730:-8356842:125] 72072i4 [0,0,0,-5441724291,-154508691574690] 2 [-8184680123675785623427440620:-1158848392770116188101:192173752908789587272000]
72072j (2 curves)	1	2+ 3- 7+ 11- 13+	2+ 3-  0 7+ 11- 13+ -6 -4
Curve Equation t Generators 72072j1 [0,0,0,-75,-10442] 2 [26:72:1] 72072j2 [0,0,0,-7635,-253874] 2 [530:12024:1]
72072k (4 curves)	1	2+ 3- 7+ 11- 13+	2+ 3-  2 7+ 11- 13+  2 -4
Curve Equation t Generators 72072k1 [0,0,0,-1434,20225] 2 [28:45:1] 72072k2 [0,0,0,-3639,-56950] 4 [158:1820:1] 72072k3 [0,0,0,10221,-386818] 2 [10276:148635:64] 72072k4 [0,0,0,-52779,-4666282] 2 [266:340:1]
72072l (1 curve)	1	2+ 3- 7+ 11- 13+	2+ 3-  3 7+ 11- 13+  0  0
Curve Equation t Generators 72072l1 [0,0,0,204,-6172] 1 [32:-182:1]
72072m (1 curve)	2	2+ 3- 7+ 11- 13-	2+ 3- -1 7+ 11- 13-  2 -5
Curve Equation t Generators 72072m1 [0,0,0,1572,-236] 1 [2:54:1]&[20:-198:1]
72072n (2 curves)	2	2+ 3- 7+ 11- 13-	2+ 3- -4 7+ 11- 13- -4 -8
Curve Equation t Generators 72072n1 [0,0,0,-15447,808810] 2 [2:882:1]&[47:432:1] 72072n2 [0,0,0,-253587,49151230] 2 [303:364:1]&[-334:9828:1]
72072o (2 curves)	1	2+ 3- 7- 11+ 13+	2+ 3-  2 7- 11+ 13+ -4  0
Curve Equation t Generators 72072o1 [0,0,0,261,3078] 2 [-6:36:1] 72072o2 [0,0,0,-2259,34830] 2 [162:1980:1]
72072p (4 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  2 7- 11+ 13-  2  8
Curve Equation t 72072p1 [0,0,0,4281,21530] 2 72072p2 [0,0,0,-17499,173990] 4 72072p3 [0,0,0,-171939,-27285442] 2 72072p4 [0,0,0,-211539,37390862] 2
72072q (2 curves)	0	2+ 3- 7- 11- 13+	2+ 3-  0 7- 11- 13+  2 -4
Curve Equation t 72072q1 [0,0,0,-40395,3237302] 2 72072q2 [0,0,0,-652755,202989134] 2
72072r (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3-  0 7- 11- 13-  0  0
Curve Equation t Generators 72072r1 [0,0,0,-1335,-41078] 2 [83:648:1] 72072r2 [0,0,0,-27795,-1782146] 2 [-97:36:1]
72072s (1 curve)	1	2+ 3- 7- 11- 13-	2+ 3- -1 7- 11- 13- -4 -4
Curve Equation t Generators 72072s1 [0,0,0,291132,113135076] 1 [586:22022:1]
72072t (2 curves)	0	2- 3+ 7+ 11+ 13+	2- 3+  0 7+ 11+ 13+  2  4
Curve Equation t 72072t1 [0,0,0,-35775,2453922] 2 72072t2 [0,0,0,29565,10412334] 2
72072u (2 curves)	1	2- 3+ 7+ 11+ 13-	2- 3+  0 7+ 11+ 13-  6 -4
Curve Equation t Generators 72072u1 [0,0,0,270,26973] 2 [-14:143:1] 72072u2 [0,0,0,-12015,491346] 2 [27:432:1]
72072v (2 curves)	1	2- 3+ 7+ 11+ 13-	2- 3+ -2 7+ 11+ 13- -6  0
Curve Equation t Generators 72072v1 [0,0,0,-4371,-111074] 2 [315:5456:1] 72072v2 [0,0,0,-3051,-179450] 2 [2514:43741:8]
72072w (2 curves)	0	2- 3+ 7- 11+ 13-	2- 3+ -2 7- 11+ 13- -8  8
Curve Equation t 72072w1 [0,0,0,-157491,-24414210] 2 72072w2 [0,0,0,-2530251,-1549149786] 2
72072x (2 curves)	0	2- 3+ 7- 11- 13+	2- 3+  4 7- 11- 13+ -6 -4
Curve Equation t 72072x1 [0,0,0,-738,-1860875] 2 72072x2 [0,0,0,-231423,-42230750] 2
72072y (1 curve)	1	2- 3+ 7- 11- 13-	2- 3+  0 7- 11- 13-  4 -2
Curve Equation t Generators 72072y1 [0,0,0,-274860,62265348] 1 [432:4914:1]
72072z (2 curves)	1	2- 3- 7+ 11+ 13+	2- 3-  0 7+ 11+ 13+ -6  0
Curve Equation t Generators 72072z1 [0,0,0,-7635,-255778] 2 [2793:6688:27] 72072z2 [0,0,0,-11595,38054] 2 [-50:702:1]
72072ba (4 curves)	1	2- 3- 7+ 11+ 13+	2- 3- -2 7+ 11+ 13+  6 -4
Curve Equation t Generators 72072ba1 [0,0,0,6438849,2869204354] 2 [40634:8207082:1] 72072ba2 [0,0,0,-28567731,24090193150] 4 [89647454:17956105578:2197] 72072ba3 [0,0,0,-239877291,-1413364219706] 2 [265759831117904474:50047712050395117798:6330598305499] 72072ba4 [0,0,0,-377363451,2819687888950] 2 [22394689504811736099582:247918944089853664299815:1871407545882461432]
72072bb (4 curves)	0	2- 3- 7+ 11+ 13-	2- 3- -2 7+ 11+ 13- -2  4
Curve Equation t 72072bb1 [0,0,0,4209,120850] 4 72072bb2 [0,0,0,-26211,1185550] 4 72072bb3 [0,0,0,-152571,-21988874] 2 72072bb4 [0,0,0,-386571,92500774] 2
72072bc (2 curves)	0	2- 3- 7+ 11+ 13-	2- 3- -4 7+ 11+ 13- -2 -4
Curve Equation t 72072bc1 [0,0,0,27213,5354750] 2 72072bc2 [0,0,0,-343227,70181750] 2
72072bd (4 curves)	1	2- 3- 7+ 11- 13-	2- 3- -2 7+ 11- 13-  2  4
Curve Equation t Generators 72072bd1 [0,0,0,-2271,2914] 4 [-1:72:1] 72072bd2 [0,0,0,-24051,-1430210] 4 [267:3344:1] 72072bd3 [0,0,0,-12171,-2843930] 2 [2082:27265:8] 72072bd4 [0,0,0,-384411,-91736426] 2 [1086:27778:1]
72072be (1 curve)	1	2- 3- 7+ 11- 13-	2- 3-  4 7+ 11- 13-  2 -2
Curve Equation t Generators 72072be1 [0,0,0,16332,-209900] 1 [31780:564246:125]
72072bf (1 curve)	0	2- 3- 7- 11+ 13+	2- 3-  0 7- 11+ 13+  2  2
Curve Equation t 72072bf1 [0,0,0,-2820,-68812] 1
72072bg (4 curves)	0	2- 3- 7- 11+ 13+	2- 3-  2 7- 11+ 13+  6  4
Curve Equation t 72072bg1 [0,0,0,-258879,-111445630] 2 72072bg2 [0,0,0,-5399859,-4825724290] 4 72072bg3 [0,0,0,-6677499,-2369844682] 2 72072bg4 [0,0,0,-86377899,-308995438138] 2
72072bh (4 curves)	0	2- 3- 7- 11+ 13+	2- 3-  2 7- 11+ 13+ -6  0
Curve Equation t 72072bh1 [0,0,0,-27039,1711330] 2 72072bh2 [0,0,0,-27219,1687390] 4 72072bh3 [0,0,0,5541,5494102] 2 72072bh4 [0,0,0,-62859,-3651482] 2
72072bi (4 curves)	0	2- 3- 7- 11+ 13+	2- 3- -2 7- 11+ 13+ -2  4
Curve Equation t 72072bi1 [0,0,0,-57711,12600754] 2 72072bi2 [0,0,0,-1238691,530106190] 4 72072bi3 [0,0,0,-1559451,234173014] 2 72072bi4 [0,0,0,-19813611,33946387270] 2
72072bj (2 curves)	0	2- 3- 7- 11+ 13+	2- 3- -4 7- 11+ 13+  0  0
Curve Equation t 72072bj1 [0,0,0,552466833,-2784206020430] 2 72072bj2 [0,0,0,-2560525707,-23856052523690] 2
72072bk (4 curves)	1	2- 3- 7- 11+ 13-	2- 3-  2 7- 11+ 13- -6 -4
Curve Equation t Generators 72072bk1 [0,0,0,63366,-4092307] 4 [74:1001:1] 72072bk2 [0,0,0,-309279,-35916190] 4 [-422:4410:1] 72072bk3 [0,0,0,-2291259,1309848230] 2 [5870:436030:1] 72072bk4 [0,0,0,-4289619,-3418409122] 2 [-410102:375390:343]
72072bl (1 curve)	1	2- 3- 7- 11+ 13-	2- 3-  3 7- 11+ 13-  8 -5
Curve Equation t Generators 72072bl1 [0,0,0,-43356,-5426332] 1 [712:18018:1]
72072bm (1 curve)	1	2- 3- 7- 11- 13+	2- 3-  1 7- 11- 13+  6 -7
Curve Equation t Generators 72072bm1 [0,0,0,-329519532,2302342110052] 1 [10481:99:1]
72072bn (2 curves)	1	2- 3- 7- 11- 13+	2- 3-  2 7- 11- 13+  0  4
Curve Equation t Generators 72072bn1 [0,0,0,38301,1135118] 2 [139:3024:1] 72072bn2 [0,0,0,-165819,9422390] 2 [382:1350:1]
72072bo (2 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+  0  2
Curve Equation t Generators 72072bo1 [0,0,0,4854669,-10645403330] 2 [100292:1821897:64] 72072bo2 [0,0,0,-53123691,-132318789626] 2 [-5266:37422:1]
72072bp (2 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+  0 -4
Curve Equation t Generators 72072bp1 [0,0,0,-49971,33255934] 2 [134:5382:1] 72072bp2 [0,0,0,-1887051,992579110] 2 [1886534:5076882:2197]
72072bq (4 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+ -6 -4
Curve Equation t Generators 72072bq1 [0,0,0,-2586,45029] 2 [46:153:1] 72072bq2 [0,0,0,-10191,-348910] 4 [-67:182:1] 72072bq3 [0,0,0,15549,-1826386] 2 [131:1568:1] 72072bq4 [0,0,0,-157611,-24083530] 2 [-229:20:1]
72072br (4 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+ -6 -4
Curve Equation t Generators 72072br1 [0,0,0,-418806426,3286017236941] 2 [37694:6407541:1] 72072br2 [0,0,0,-636012831,-488639110430] 4 [-17623:2290554:1] 72072br3 [0,0,0,2535180909,-3902746290914] 2 [139179:55181056:1] 72072br4 [0,0,0,-7282509051,-238652538161690] 2 [-48381:660380:1]
72072bs (4 curves)	0	2- 3- 7- 11- 13-	2- 3-  2 7- 11- 13-  2 -4
Curve Equation t 72072bs1 [0,0,0,-23754,-1630267] 4 72072bs2 [0,0,0,-396399,-96058510] 4 72072bs3 [0,0,0,-412779,-87688330] 2 72072bs4 [0,0,0,-6342339,-6147836242] 2

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