Cremona's table of elliptic curves

108300 = 2² · 3 · 5² · 19²

Class	r	Atkin-Lehner	Eigenvalues
108300a (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+  1  2 -3 -6 19+
Curve Equation t 108300a1 [0,-1,0,-228633,50153262] 1
108300b (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+  1  6  4  2 19+
Curve Equation t 108300b1 [0,-1,0,-3958,-40463] 1
108300c (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+ -1  1  4  3 19+
Curve Equation t 108300c1 [0,-1,0,-2533,-86063] 1
108300d (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+ -1  6 -5 -4 19+
Curve Equation t 108300d1 [0,-1,0,-19253,-1023903] 1
108300e (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+  2 -1 -4  8 19+
Curve Equation t 108300e1 [0,-1,0,-3658133,-1680886863] 1
108300f (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  2 -6  2  2 19+
Curve Equation t 108300f1 [0,-1,0,-914533,332744062] 2 108300f2 [0,-1,0,-1771908,-389165688] 2
108300g (1 curve)	2	2- 3+ 5+ 19+	2- 3+ 5+ -2 -1 -6  2 19+
Curve Equation t Generators 108300g1 [0,-1,0,-553533,158696937] 1 [507:-2850:1]&[-177:15846:1]
108300h (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+ -2 -3  4 -6 19+
Curve Equation t 108300h1 [0,-1,0,-1223188,-521407208] 1
108300i (2 curves)	2	2- 3+ 5+ 19+	2- 3+ 5+ -2 -6  4 -3 19+
Curve Equation t Generators 108300i1 [0,-1,0,-57158,-36784563] 1 [447:5175:1]&[2407:117325:1] 108300i2 [0,-1,0,-10345658,-12804813063] 1 [3727:19825:1]&[4212:135375:1]
108300j (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  4  0  4  2 19+
Curve Equation t 108300j1 [0,-1,0,3200867,-2144726738] 2 108300j2 [0,-1,0,-18233508,-20192470488] 2
108300k (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+ -4  2  2 -1 19+
Curve Equation t 108300k1 [0,-1,0,87242,-22452863] 1
108300l (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+  5  6  1  2 19+
Curve Equation t 108300l1 [0,-1,0,36809967,-126243241938] 1
108300m (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  0  2  2 -6 19-
Curve Equation t Generators 108300m1 [0,-1,0,24067,-16234638] 2 [65210824888:6672317129375:6229504] 108300m2 [0,-1,0,-833308,-282020888] 2 [41877:8567500:1]
108300n (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  1  0  0 -2 19-
Curve Equation t Generators 108300n1 [0,-1,0,-6618,145737] 1 [-82:361:1]
108300o (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -1 -5 -6  5 19-
Curve Equation t Generators 108300o1 [0,-1,0,24067,-8518263] 1 [203:2166:1]
108300p (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -1 -6  3 -2 19-
Curve Equation t Generators 108300p1 [0,-1,0,-633,107262] 1 [62:550:1]
108300q (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  2 -2  0 -1 19-
Curve Equation t Generators 108300q1 [0,-1,0,229742,-805518863] 1 [6011676:404485327:1331]
108300r (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  2  3  0  4 19-
Curve Equation t Generators 108300r1 [0,-1,0,-17376133,-27827394863] 1 [-131386786:367401525:54872]
108300s (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  2  4  0  2 19-
Curve Equation t Generators 108300s1 [0,-1,0,-30516533,-64875046938] 2 [-878039565:-97555557:274625] 108300s2 [0,-1,0,-31373908,-61035721688] 2 [-500830:2280798:125]
108300t (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -2  3 -6 -2 19-
Curve Equation t Generators 108300t1 [0,-1,0,-3517533,2540384937] 1 [1107:1350:1]
108300u (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  3 -2 -1 -2 19-
Curve Equation t Generators 108300u1 [0,-1,0,-16946074033,-849141219681938] 1 [1465385660086042090276827670803817108245478544515143146850042195768389681430221190348247175468734360685818778603940299466003704898397256376548586505422467551607621140793018985527478201556155482379383418466652617317217626546223741759251102027660399402685522840895405331418280256757506:529353773292820876238840135470223424361002257149897728876905037541850629234826508524346028719095258677459580976367874737043862006387671755853074686743976119999030053150449763556384112367794649563198338586920694811077998944528756758682480658173366134399256555671349038445821689011300550:6560181575361133270161621170439850224299488409198486121964954291930213614717312987145425369465475428098051510911739148121454928569007563690736286946721160746917494143910531781957328189863092264069304088930959042609708821261875257324390627440149968721287151641611246847691521903]
108300v (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -3 -2  2  4 19-
Curve Equation t Generators 108300v1 [0,-1,0,-28278,1250397] 1 [431:8303:1]
108300w (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -4 -2  6  5 19-
Curve Equation t Generators 108300w1 [0,-1,0,-158,8937] 1 [22:125:1]
108300x (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5-  0 -4 -4 -3 19+
Curve Equation t Generators 108300x1 [0,-1,0,-4677958,-3892769963] 1 [43406618628117040212474:4786710960315081036948625:3456224522652145672]
108300y (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5-  0  5  2 -6 19+
Curve Equation t Generators 108300y1 [0,-1,0,-91453,3409177] 1 [266:5085:8]
108300z (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5- -1  6  4 -2 19+
Curve Equation t Generators 108300z1 [0,-1,0,-57158,2311737] 1 [1092:6859:27]
108300ba (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5-  2 -3  4  6 19+
Curve Equation t Generators 108300ba1 [0,-1,0,-84708,9537912] 1 [317:3800:1]
108300bb (1 curve)	0	2- 3+ 5- 19-	2- 3+ 5-  0 -4 -4  3 19-
Curve Equation t 108300bb1 [0,-1,0,-67549718,213712152957] 1
108300bc (1 curve)	0	2- 3+ 5- 19-	2- 3+ 5-  0  5  2  6 19-
Curve Equation t 108300bc1 [0,-1,0,-6333,-59463] 1
108300bd (1 curve)	0	2- 3+ 5- 19-	2- 3+ 5-  1  6 -5  4 19-
Curve Equation t 108300bd1 [0,-1,0,-173761333,883429165537] 1
108300be (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5- -1  0  4  0 19-
Curve Equation t 108300be1 [0,-1,0,-21058,-901163] 1 108300be2 [0,-1,0,-562558,162523537] 1
108300bf (1 curve)	0	2- 3+ 5- 19-	2- 3+ 5- -1 -4  0  4 19-
Curve Equation t 108300bf1 [0,-1,0,-92400958,-336406801463] 1
108300bg (1 curve)	0	2- 3+ 5- 19-	2- 3+ 5- -1 -4  0 -6 19-
Curve Equation t 108300bg1 [0,-1,0,-16590958,-25907993963] 1
108300bh (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5- -1  6 -5 -6 19-
Curve Equation t 108300bh1 [0,-1,0,-120333,23538537] 1 108300bh2 [0,-1,0,-10950333,13950918537] 1
108300bi (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  4 -4  0  4 19-
Curve Equation t 108300bi1 [0,-1,0,-120333,-15043338] 2 108300bi2 [0,-1,0,105292,-65132088] 2
108300bj (1 curve)	2	2- 3+ 5- 19-	2- 3+ 5- -5  2  2  4 19-
Curve Equation t Generators 108300bj1 [0,-1,0,-21058,1156537] 1 [108:-361:1]&[56:387:1]
108300bk (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  1  6 -4  2 19+
Curve Equation t Generators 108300bk1 [0,1,0,-1428958,286109213] 1 [-244834649577920804487:16636486160041347878657:583926979044954537]
108300bl (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -1  1 -4  3 19+
Curve Equation t Generators 108300bl1 [0,1,0,-914533,595793063] 1 [842:20577:1]
108300bm (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -1 -6 -3 -2 19+
Curve Equation t Generators 108300bm1 [0,1,0,-228633,-734338512] 1 [1203:27075:1]
108300bn (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  2 -2  0 -1 19+
Curve Equation t Generators 108300bn1 [0,1,0,82936742,5524556260613] 1 [-15403:770013:1]
108300bo (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  2  3  0  4 19+
Curve Equation t Generators 108300bo1 [0,1,0,-48133,4041863] 1 [-127:2850:1]
108300bp (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  2 -6 -2  2 19+
Curve Equation t Generators 108300bp1 [0,1,0,-2533,-49312] 2 [-1724:639:64] 108300bp2 [0,1,0,-4908,55188] 2 [-13:342:1]
108300bq (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -2  3  6 -2 19+
Curve Equation t Generators 108300bq1 [0,1,0,-1269829533,-17416881305937] 1 [-30994534305249444822:17154925252606322325:1509832508427361]
108300br (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -2 -3 -4 -6 19+
Curve Equation t Generators 108300br1 [0,1,0,-3388,74948] 1 [44:-114:1]
108300bs (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  3 -2  1 -2 19+
Curve Equation t Generators 108300bs1 [0,1,0,-46942033,123784741688] 1 [3443:54675:1]
108300bt (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  4  0 -4  2 19+
Curve Equation t Generators 108300bt1 [0,1,0,8867,315488] 2 [272:4788:1] 108300bt2 [0,1,0,-50508,2927988] 2 [243:2250:1]
108300bu (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -4 -2 -6  5 19+
Curve Equation t Generators 108300bu1 [0,1,0,-57158,-60956187] 1 [226056:135375:512]
108300bv (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  1  0 -4  0 19-
Curve Equation t 108300bv1 [0,1,0,-526458,-113698287] 1 108300bv2 [0,1,0,-14063958,20287314213] 1
108300bw (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  1  2  3 -6 19-
Curve Equation t 108300bw1 [0,1,0,-633,-7512] 1
108300bx (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  1 -4  0 -4 19-
Curve Equation t 108300bx1 [0,1,0,-3696038,-2692732827] 1
108300by (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  1 -4  0  6 19-
Curve Equation t 108300by1 [0,1,0,-663638,-207529407] 1
108300bz (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  1  6  5  6 19-
Curve Equation t 108300bz1 [0,1,0,-4813,186383] 1 108300bz2 [0,1,0,-438013,111432143] 1
108300ca (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+ -1  6  5 -4 19-
Curve Equation t 108300ca1 [0,1,0,-6950453,7064653143] 1
108300cb (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2  0 -4  2 19-
Curve Equation t 108300cb1 [0,1,0,-192533,24736188] 2 108300cb2 [0,1,0,-1049908,-393662812] 2
108300cc (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  2 -1  4  8 19-
Curve Equation t 108300cc1 [0,1,0,-10133,241863] 1
108300cd (4 curves)	2	2- 3- 5+ 19-	2- 3- 5+ -2  0 -4 -6 19-
Curve Equation t Generators 108300cd1 [0,1,0,-11022533,-14087836812] 2 [-1913:1083:1]&[-1907:825:1] 108300cd2 [0,1,0,-11879908,-11769494812] 2 [-2752:9450:1]&[-2293:58482:1] 108300cd3 [0,1,0,-24018533,24726341688] 2 [-488:190608:1]&[29572:7498425:64] 108300cd4 [0,1,0,-333530908,2343593055188] 2 [1507:1358082:1]&[3203:1143750:1]
108300ce (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+ -2 -1  6  2 19-
Curve Equation t 108300ce1 [0,1,0,-199825533,-1087303337937] 1
108300cf (2 curves)	2	2- 3- 5+ 19-	2- 3- 5+ -2 -6 -4 -3 19-
Curve Equation t Generators 108300cf1 [0,1,0,-158,5313] 1 [-12:75:1]&[-2:75:1] 108300cf2 [0,1,0,-28658,1857813] 1 [93:75:1]&[474:4875:8]
108300cg (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4  2  6  2 19-
Curve Equation t 108300cg1 [0,1,0,168467,5422688] 2 108300cg2 [0,1,0,-688908,43147188] 2
108300ch (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+ -4  2 -2 -1 19-
Curve Equation t 108300ch1 [0,1,0,31494242,153815221613] 1
108300ci (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  5  2 -2 -4 19-
Curve Equation t 108300ci1 [0,1,0,-526458,143514213] 1
108300cj (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  5  6 -1  2 19-
Curve Equation t 108300cj1 [0,1,0,101967,18437688] 1
108300ck (1 curve)	0	2- 3- 5- 19+	2- 3- 5-  0 -4  4  3 19+
Curve Equation t 108300ck1 [0,1,0,-187118,-31217007] 1
108300cl (1 curve)	0	2- 3- 5- 19+	2- 3- 5-  0  5 -2  6 19+
Curve Equation t 108300cl1 [0,1,0,-2286333,421574463] 1
108300cm (1 curve)	0	2- 3- 5- 19+	2- 3- 5-  1  6  5  4 19+
Curve Equation t 108300cm1 [0,1,0,-481333,-128950537] 1
108300cn (1 curve)	0	2- 3- 5- 19+	2- 3- 5- -1  6 -4 -2 19+
Curve Equation t 108300cn1 [0,1,0,-158,-387] 1
108300co (1 curve)	0	2- 3- 5- 19+	2- 3- 5-  2 -3 -4  6 19+
Curve Equation t 108300co1 [0,1,0,-30579708,-65237060412] 1
108300cp (1 curve)	1	2- 3- 5- 19-	2- 3- 5-  0 -4  4 -3 19-
Curve Equation t Generators 108300cp1 [0,1,0,-1688742958,26710641633713] 1 [23708:4875:1]
108300cq (1 curve)	1	2- 3- 5- 19-	2- 3- 5-  0  5 -2 -6 19-
Curve Equation t Generators 108300cq1 [0,1,0,-253,-577] 1 [-7:30:1]
108300cr (1 curve)	1	2- 3- 5- 19-	2- 3- 5- -1  0  0  2 19-
Curve Equation t Generators 108300cr1 [0,1,0,-165458,17886213] 1 [314:27075:8]
108300cs (1 curve)	1	2- 3- 5- 19-	2- 3- 5-  3 -2 -2 -4 19-
Curve Equation t Generators 108300cs1 [0,1,0,-706958,154885713] 1 [3958:243675:1]
108300ct (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -4 -4  0 -4 19-
Curve Equation t Generators 108300ct1 [0,1,0,-4813,-122272] 2 [272:4332:1] 108300ct2 [0,1,0,4212,-519372] 2 [143:1740:1]

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