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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
30030.a1 30030.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $3.430848061$ $[1, 1, 0, -261268, -49896812]$ \(y^2+xy=x^3+x^2-261268x-49896812\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, $\ldots$
30030.a2 30030.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.715424030$ $[1, 1, 0, -41048, 2119152]$ \(y^2+xy=x^3+x^2-41048x+2119152\) 2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 140.24.0.?, $\ldots$
30030.a3 30030.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.857712015$ $[1, 1, 0, -37128, 2737728]$ \(y^2+xy=x^3+x^2-37128x+2737728\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$
30030.a4 30030.a \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $3.430848061$ $[1, 1, 0, 116452, 14624652]$ \(y^2+xy=x^3+x^2+116452x+14624652\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$
30030.b1 30030.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.674881273$ $[1, 1, 0, -216443, -38848467]$ \(y^2+xy=x^3+x^2-216443x-38848467\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$
30030.b2 30030.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.837440636$ $[1, 1, 0, -13643, -600387]$ \(y^2+xy=x^3+x^2-13643x-600387\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 308.12.0.?, $\ldots$
30030.b3 30030.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.674881273$ $[1, 1, 0, -2123, 23997]$ \(y^2+xy=x^3+x^2-2123x+23997\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$
30030.b4 30030.b \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.674881273$ $[1, 1, 0, 4837, -2082483]$ \(y^2+xy=x^3+x^2+4837x-2082483\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$
30030.c1 30030.c \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.170351809$ $[1, 1, 0, -2614278, -1626991848]$ \(y^2+xy=x^3+x^2-2614278x-1626991848\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 220.12.0.?, $\ldots$
30030.c2 30030.c \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.170351809$ $[1, 1, 0, -1652878, 807576112]$ \(y^2+xy=x^3+x^2-1652878x+807576112\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 220.12.0.?, $\ldots$
30030.c3 30030.c \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.585175904$ $[1, 1, 0, -197578, -14086268]$ \(y^2+xy=x^3+x^2-197578x-14086268\) 2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 156.24.0.?, 220.12.0.?, $\ldots$
30030.c4 30030.c \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.170351809$ $[1, 1, 0, 44422, -1647468]$ \(y^2+xy=x^3+x^2+44422x-1647468\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$
30030.d1 30030.d \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.301433917$ $[1, 1, 0, -597, 5031]$ \(y^2+xy=x^3+x^2-597x+5031\) 2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?
30030.d2 30030.d \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.602867834$ $[1, 1, 0, 33, 369]$ \(y^2+xy=x^3+x^2+33x+369\) 2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.?
30030.e1 30030.e \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.616537147$ $[1, 1, 0, -929045197, -10899802618019]$ \(y^2+xy=x^3+x^2-929045197x-10899802618019\) 2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?
30030.e2 30030.e \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $3.233074294$ $[1, 1, 0, -57770317, -172143530531]$ \(y^2+xy=x^3+x^2-57770317x-172143530531\) 2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.?
30030.f1 30030.f \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.907143184$ $[1, 1, 0, -630052, -192695384]$ \(y^2+xy=x^3+x^2-630052x-192695384\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$
30030.f2 30030.f \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.907143184$ $[1, 1, 0, -325332, 69817464]$ \(y^2+xy=x^3+x^2-325332x+69817464\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
30030.f3 30030.f \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.453571592$ $[1, 1, 0, -45052, -2102384]$ \(y^2+xy=x^3+x^2-45052x-2102384\) 2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 104.12.0.?, 220.24.0.?, $\ldots$
30030.f4 30030.f \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.907143184$ $[1, 1, 0, 9028, -231216]$ \(y^2+xy=x^3+x^2+9028x-231216\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$
30030.g1 30030.g \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.682447702$ $[1, 1, 0, -243672, -46386444]$ \(y^2+xy=x^3+x^2-243672x-46386444\) 2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 84.12.0.?, 104.12.0.?, $\ldots$
30030.g2 30030.g \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.341223851$ $[1, 1, 0, -17292, -521856]$ \(y^2+xy=x^3+x^2-17292x-521856\) 2.6.0.a.1, 44.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 572.24.0.?, $\ldots$
30030.g3 30030.g \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.682447702$ $[1, 1, 0, -7612, 246736]$ \(y^2+xy=x^3+x^2-7612x+246736\) 2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 84.12.0.?, 88.12.0.?, $\ldots$
30030.g4 30030.g \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.682447702$ $[1, 1, 0, 54208, -3653556]$ \(y^2+xy=x^3+x^2+54208x-3653556\) 2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 52.12.0-4.c.1.1, 168.12.0.?, $\ldots$
30030.h1 30030.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -84950827, -301404868499]$ \(y^2+xy=x^3+x^2-84950827x-301404868499\) 2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 88.12.0.?, 260.12.0.?, $\ldots$
30030.h2 30030.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -12265227, 9861579981]$ \(y^2+xy=x^3+x^2-12265227x+9861579981\) 2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 168.12.0.?, 260.12.0.?, $\ldots$
30030.h3 30030.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -5344027, -4646639459]$ \(y^2+xy=x^3+x^2-5344027x-4646639459\) 2.6.0.a.1, 44.12.0-2.a.1.1, 84.12.0.?, 260.12.0.?, 924.24.0.?, $\ldots$
30030.h4 30030.h \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 63973, -234793059]$ \(y^2+xy=x^3+x^2+63973x-234793059\) 2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 84.12.0.?, 462.6.0.?, $\ldots$
30030.i1 30030.i \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -116937, -15439941]$ \(y^2+xy=x^3+x^2-116937x-15439941\) 2.3.0.a.1, 520.6.0.?, 924.6.0.?, 120120.12.0.?
30030.i2 30030.i \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -7087, -258671]$ \(y^2+xy=x^3+x^2-7087x-258671\) 2.3.0.a.1, 462.6.0.?, 520.6.0.?, 120120.12.0.?
30030.j1 30030.j \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.398191769$ $[1, 0, 1, -443339, -108884464]$ \(y^2+xy+y=x^3-443339x-108884464\) 2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?
30030.j2 30030.j \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.699095884$ $[1, 0, 1, 15931, -6559108]$ \(y^2+xy+y=x^3+15931x-6559108\) 2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.?
30030.k1 30030.k \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.576624148$ $[1, 0, 1, -164874, -25603328]$ \(y^2+xy+y=x^3-164874x-25603328\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, $\ldots$
30030.k2 30030.k \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.288312074$ $[1, 0, 1, -17454, 224656]$ \(y^2+xy+y=x^3-17454x+224656\) 2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 140.24.0.?, $\ldots$
30030.k3 30030.k \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.576624148$ $[1, 0, 1, -13534, 604112]$ \(y^2+xy+y=x^3-13534x+604112\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$
30030.k4 30030.k \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.576624148$ $[1, 0, 1, 67246, 1783136]$ \(y^2+xy+y=x^3+67246x+1783136\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$
30030.l1 30030.l \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -177104, -28701538]$ \(y^2+xy+y=x^3-177104x-28701538\) 2.3.0.a.1, 520.6.0.?, 924.6.0.?, 120120.12.0.?
30030.l2 30030.l \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -10704, -480098]$ \(y^2+xy+y=x^3-10704x-480098\) 2.3.0.a.1, 462.6.0.?, 520.6.0.?, 120120.12.0.?
30030.m1 30030.m \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.336792085$ $[1, 0, 1, -23544, -423674]$ \(y^2+xy+y=x^3-23544x-423674\) 2.3.0.a.1, 220.6.0.?, 364.6.0.?, 20020.12.0.?
30030.m2 30030.m \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.673584171$ $[1, 0, 1, 5576, -50938]$ \(y^2+xy+y=x^3+5576x-50938\) 2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?
30030.n1 30030.n \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.350185144$ $[1, 0, 1, -17410669, 27944733776]$ \(y^2+xy+y=x^3-17410669x+27944733776\) 2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?
30030.n2 30030.n \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.675092572$ $[1, 0, 1, -876949, 611187872]$ \(y^2+xy+y=x^3-876949x+611187872\) 2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.?
30030.o1 30030.o \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -4180534, -3245570104]$ \(y^2+xy+y=x^3-4180534x-3245570104\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 520.6.0.?, 924.48.0.?, $\ldots$
30030.o2 30030.o \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 1, -437119, 109079402]$ \(y^2+xy+y=x^3-437119x+109079402\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 520.6.0.?, 924.48.0.?, $\ldots$
30030.o3 30030.o \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -20534, -140546104]$ \(y^2+xy+y=x^3-20534x-140546104\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 462.48.0.?, 520.6.0.?, $\ldots$
30030.o4 30030.o \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 1, 2281, 5205242]$ \(y^2+xy+y=x^3+2281x+5205242\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 462.48.0.?, 520.6.0.?, $\ldots$
30030.p1 30030.p \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.346531791$ $[1, 0, 1, -105752574, -418583571128]$ \(y^2+xy+y=x^3-105752574x-418583571128\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$
30030.p2 30030.p \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.673265895$ $[1, 0, 1, -6887574, -5960607128]$ \(y^2+xy+y=x^3-6887574x-5960607128\) 2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, $\ldots$
30030.p3 30030.p \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/6\Z$ $4.039595373$ $[1, 0, 1, -2313909, 426827206]$ \(y^2+xy+y=x^3-2313909x+426827206\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$
30030.p4 30030.p \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.346531791$ $[1, 0, 1, -1887574, 907392872]$ \(y^2+xy+y=x^3-1887574x+907392872\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$
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