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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
476100.a1 476100.a \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 91284874800, 4636141049666500]$ \(y^2=x^3+91284874800x+4636141049666500\) 230.2.0.? $[ ]$
476100.b1 476100.b \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -5110140, -4459266335]$ \(y^2=x^3-5110140x-4459266335\) 6.2.0.a.1 $[ ]$
476100.c1 476100.c \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -5514825, 22355341625]$ \(y^2=x^3-5514825x+22355341625\) 3.4.0.a.1, 30.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 345.8.0.?, $\ldots$ $[ ]$
476100.c2 476100.c \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 49236675, -577064080375]$ \(y^2=x^3+49236675x-577064080375\) 3.4.0.a.1, 30.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 345.8.0.?, $\ldots$ $[ ]$
476100.d1 476100.d \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.902068442$ $[0, 0, 0, -189805200, 1006483136625]$ \(y^2=x^3-189805200x+1006483136625\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$ $[(6720, 185625)]$
476100.d2 476100.d \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.804136885$ $[0, 0, 0, -185242575, 1057169337750]$ \(y^2=x^3-185242575x+1057169337750\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 24.24.0.fb.1, 80.24.0.?, $\ldots$ $[(605155/9, 218968750/9)]$
476100.e1 476100.e \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.259318477$ $[0, 0, 0, -1587000, 722415625]$ \(y^2=x^3-1587000x+722415625\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$ $[(-1425, 9500)]$
476100.e2 476100.e \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.629659238$ $[0, 0, 0, 1388625, 3117793750]$ \(y^2=x^3+1388625x+3117793750\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$ $[(1334, 85698)]$
476100.f1 476100.f \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $-3$ $38.00398822$ $[0, 0, 0, 0, -8926875]$ \(y^2=x^3-8926875\) $[(579, 13608), (1879/3, 11242/3)]$
476100.f2 476100.f \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $2$ $\Z/3\Z$ $-3$ $4.222665358$ $[0, 0, 0, 0, 330625]$ \(y^2=x^3+330625\) $[(50, 675), (-69, 46)]$
476100.g1 476100.g \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $-3$ $9.676694015$ $[0, 0, 0, 0, -71875]$ \(y^2=x^3-71875\) $[(22129/14, 3208617/14)]$
476100.g2 476100.g \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $-3$ $3.225564671$ $[0, 0, 0, 0, 1940625]$ \(y^2=x^3+1940625\) $[(-84, 1161)]$
476100.h1 476100.h \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1447978800, -21207593534875]$ \(y^2=x^3-1447978800x-21207593534875\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 20.6.0.b.1, $\ldots$ $[ ]$
476100.h2 476100.h \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1445003175, -21299096979250]$ \(y^2=x^3-1445003175x-21299096979250\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 20.6.0.a.1, $\ldots$ $[ ]$
476100.h3 476100.h \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -19678800, -22869397375]$ \(y^2=x^3-19678800x-22869397375\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 20.6.0.b.1, $\ldots$ $[ ]$
476100.h4 476100.h \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 54711825, -154615194250]$ \(y^2=x^3+54711825x-154615194250\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 20.6.0.a.1, $\ldots$ $[ ]$
476100.i1 476100.i \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-12$ $1.381130170$ $[0, 0, 0, -1785375, 903399750]$ \(y^2=x^3-1785375x+903399750\) $[(115, 26450)]$
476100.i2 476100.i \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-12$ $4.143390512$ $[0, 0, 0, -198375, -33459250]$ \(y^2=x^3-198375x-33459250\) $[(2254, 104742)]$
476100.i3 476100.i \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-3$ $8.286781025$ $[0, 0, 0, 0, -1520875]$ \(y^2=x^3-1520875\) $[(24715/11, 3521700/11)]$
476100.i4 476100.i \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-3$ $2.762260341$ $[0, 0, 0, 0, 41063625]$ \(y^2=x^3+41063625\) $[(184, 6877)]$
476100.j1 476100.j \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, -188892675]$ \(y^2=x^3-188892675\) $[ ]$
476100.j2 476100.j \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/3\Z$ $-3$ $1$ $[0, 0, 0, 0, 6996025]$ \(y^2=x^3+6996025\) $[ ]$
476100.k1 476100.k \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $-3$ $28.67499064$ $[0, 0, 0, 0, -32181715]$ \(y^2=x^3-32181715\) $[(2621700969919/32829, 4240223233623816362/32829)]$
476100.k2 476100.k \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $-3$ $9.558330215$ $[0, 0, 0, 0, 868906305]$ \(y^2=x^3+868906305\) $[(21886, 3237931)]$
476100.l1 476100.l \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -119025, 41063625]$ \(y^2=x^3-119025x+41063625\) 46.2.0.a.1 $[ ]$
476100.m1 476100.m \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $65.67938443$ $[0, 0, 0, -1708246800, -27175044688875]$ \(y^2=x^3-1708246800x-27175044688875\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 12.12.0.n.1, 24.24.0.es.1, $\ldots$ $[(-6953503675861260423307399508765/17075793744727, 73826548349684001864326937065115792728157500/17075793744727)]$
476100.m2 476100.m \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $131.3587688$ $[0, 0, 0, -1667183175, -28543572119250]$ \(y^2=x^3-1667183175x-28543572119250\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.z.1, 24.24.0.fb.1, 80.24.0.?, $\ldots$ $[(122437638262136188764538602144389307093487174547939103427585/849569744218125631866595156, 41453439122159778370500682613980116608734176009591566693383700130604338909645803534890625/849569744218125631866595156)]$
476100.n1 476100.n \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.356565571$ $[0, 0, 0, -241500, 45813125]$ \(y^2=x^3-241500x+45813125\) 6.2.0.a.1 $[(1225/2, 6075/2)]$
476100.o1 476100.o \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $19.03915633$ $[0, 0, 0, -17655375, -27586847450]$ \(y^2=x^3-17655375x-27586847450\) 92.2.0.? $[(-644313466/487, 2088895943502/487)]$
476100.p1 476100.p \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $19.30920992$ $[0, 0, 0, -469950375, -3918123801250]$ \(y^2=x^3-469950375x-3918123801250\) 92.2.0.? $[(-1990826834/395, 1845389927286/395)]$
476100.q1 476100.q \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.792665506$ $[0, 0, 0, 1460040, -643634300]$ \(y^2=x^3+1460040x-643634300\) 230.2.0.? $[(10580, 1095030)]$
476100.r1 476100.r \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -100615800, 544369830500]$ \(y^2=x^3-100615800x+544369830500\) 230.2.0.? $[ ]$
476100.s1 476100.s \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -7300200, -7695627500]$ \(y^2=x^3-7300200x-7695627500\) 6.2.0.a.1 $[ ]$
476100.t1 476100.t \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -134895, -5718490]$ \(y^2=x^3-134895x-5718490\) 92.2.0.? $[ ]$
476100.u1 476100.u \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $7.901104455$ $[0, 0, 0, -116803200, 485943896500]$ \(y^2=x^3-116803200x+485943896500\) 230.2.0.? $[(34385/2, 2737575/2), (23805, 3345925)]$
476100.v1 476100.v \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.439423872$ $[0, 0, 0, 69000, 6612500]$ \(y^2=x^3+69000x+6612500\) 230.2.0.? $[(-575/4, 129375/4)]$
476100.w1 476100.w \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -35535, 2576230]$ \(y^2=x^3-35535x+2576230\) 92.2.0.? $[ ]$
476100.x1 476100.x \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -29200800, -289775355500]$ \(y^2=x^3-29200800x-289775355500\) 6.2.0.a.1 $[ ]$
476100.y1 476100.y \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -75739575, 252626462750]$ \(y^2=x^3-75739575x+252626462750\) 2.3.0.a.1, 60.6.0.e.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? $[ ]$
476100.y2 476100.y \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -7300200, -804542875]$ \(y^2=x^3-7300200x-804542875\) 2.3.0.a.1, 60.6.0.e.1, 138.6.0.?, 460.6.0.?, 1380.12.0.? $[ ]$
476100.z1 476100.z \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $2.881897128$ $[0, 0, 0, -1229925, 558161125]$ \(y^2=x^3-1229925x+558161125\) 46.2.0.a.1 $[(345, 13225), (621, 5819)]$
476100.ba1 476100.ba \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.22162533$ $[0, 0, 0, -132554175, -587395384250]$ \(y^2=x^3-132554175x-587395384250\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? $[(-956255/12, 5346575/12)]$
476100.ba2 476100.ba \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.110812666$ $[0, 0, 0, -8569800, -8512337375]$ \(y^2=x^3-8569800x-8512337375\) 2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.? $[(-12305/3, 687700/3)]$
476100.bb1 476100.bb \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -3808800, -2835175500]$ \(y^2=x^3-3808800x-2835175500\) 10.2.0.a.1 $[ ]$
476100.bc1 476100.bc \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2737575, 21722657625]$ \(y^2=x^3+2737575x+21722657625\) 46.2.0.a.1 $[ ]$
476100.bd1 476100.bd \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $1.419064939$ $[0, 0, 0, -13800, -609500]$ \(y^2=x^3-13800x-609500\) 10.2.0.a.1 $[(-60, 50), (140, 450)]$
476100.be1 476100.be \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 230868825, -107808745250]$ \(y^2=x^3+230868825x-107808745250\) 4.2.0.a.1, 2760.4.0.? $[ ]$
476100.bf1 476100.bf \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2109757800, 37174218360500]$ \(y^2=x^3-2109757800x+37174218360500\) 3.4.0.a.1, 6.8.0-3.a.1.1, 10.2.0.a.1, 15.8.0-3.a.1.2, 30.16.0-30.a.1.3 $[ ]$
476100.bf2 476100.bf \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -138703800, -589205225500]$ \(y^2=x^3-138703800x-589205225500\) 3.4.0.a.1, 6.8.0-3.a.1.2, 10.2.0.a.1, 15.8.0-3.a.1.1, 30.16.0-30.a.1.2 $[ ]$
476100.bg1 476100.bg \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2737575, 1888926750]$ \(y^2=x^3-2737575x+1888926750\) 4.2.0.a.1, 5.5.0.a.1, 20.10.0.a.1, 120.20.0.? $[ ]$
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