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Results (41 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
23805.a1 23805.a \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.529901888$ $[0, 0, 1, 33327, -3531472]$ \(y^2+y=x^3+33327x-3531472\) 230.2.0.?
23805.b1 23805.b \( 3^{2} \cdot 5 \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $0.440040531$ $[0, 0, 1, -483, 4088]$ \(y^2+y=x^3-483x+4088\) 6.2.0.a.1
23805.c1 23805.c \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.720192006$ $[0, 0, 1, -1173, -15462]$ \(y^2+y=x^3-1173x-15462\) 10.2.0.a.1
23805.d1 23805.d \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 141243, -28522490]$ \(y^2+y=x^3+141243x-28522490\) 230.2.0.?
23805.e1 23805.e \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -620517, 188123112]$ \(y^2+y=x^3-620517x+188123112\) 10.2.0.a.1
23805.f1 23805.f \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.199023891$ $[0, 0, 1, -255507, -49741738]$ \(y^2+y=x^3-255507x-49741738\) 6.2.0.a.1
23805.g1 23805.g \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -1786268, -917335718]$ \(y^2+xy+y=x^3-x^2-1786268x-917335718\) 2.3.0.a.1, 20.6.0.d.1, 138.6.0.?, 1380.12.0.?
23805.g2 23805.g \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -143723, -5394734]$ \(y^2+xy+y=x^3-x^2-143723x-5394734\) 2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?
23805.h1 23805.h \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.176786666$ $[1, -1, 1, -143465693, 661187290232]$ \(y^2+xy+y=x^3-x^2-143465693x+661187290232\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.3, 92.12.0.?, $\ldots$
23805.h2 23805.h \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $28.70714666$ $[1, -1, 1, -78858923, -264834903544]$ \(y^2+xy+y=x^3-x^2-78858923x-264834903544\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.3, 120.24.0.?, $\ldots$
23805.h3 23805.h \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $14.35357333$ $[1, -1, 1, -10419548, 6759912206]$ \(y^2+xy+y=x^3-x^2-10419548x+6759912206\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 60.24.0-60.b.1.5, 92.12.0.?, $\ldots$
23805.h4 23805.h \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.176786666$ $[1, -1, 1, 2173297, 775792262]$ \(y^2+xy+y=x^3-x^2+2173297x+775792262\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 30.6.0.a.1, 40.12.0-4.c.1.3, $\ldots$
23805.i1 23805.i \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.436935760$ $[1, -1, 1, -3377, 76276]$ \(y^2+xy+y=x^3-x^2-3377x+76276\) 2.3.0.a.1, 20.6.0.d.1, 138.6.0.?, 1380.12.0.?
23805.i2 23805.i \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.873871520$ $[1, -1, 1, -272, 514]$ \(y^2+xy+y=x^3-x^2-272x+514\) 2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?
23805.j1 23805.j \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.723536091$ $[0, 0, 1, -138, 1719]$ \(y^2+y=x^3-138x+1719\) 3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.?
23805.k1 23805.k \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $18.46540332$ $[0, 0, 1, -3481878, -2500771721]$ \(y^2+y=x^3-3481878x-2500771721\) 230.2.0.?
23805.l1 23805.l \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.620321326$ $[0, 0, 1, -138, -167]$ \(y^2+y=x^3-138x-167\) 10.2.0.a.1
23805.m1 23805.m \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.956328513$ $[0, 0, 1, -6348, 544473]$ \(y^2+y=x^3-6348x+544473\) 230.2.0.?
23805.n1 23805.n \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -73002, 2028847]$ \(y^2+y=x^3-73002x+2028847\) 10.2.0.a.1
23805.o1 23805.o \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -73002, -20918115]$ \(y^2+y=x^3-73002x-20918115\) 3.6.0.b.1, 30.12.0.b.1, 69.12.0.a.1, 230.2.0.?, 690.24.1.?
23805.p1 23805.p \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.457822689$ $[1, -1, 0, -1956870, -1050657075]$ \(y^2+xy=x^3-x^2-1956870x-1050657075\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$
23805.p2 23805.p \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.457822689$ $[1, -1, 0, -1814040, 937279431]$ \(y^2+xy=x^3-x^2-1814040x+937279431\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.5, $\ldots$
23805.p3 23805.p \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.915645379$ $[1, -1, 0, -171495, -1927800]$ \(y^2+xy=x^3-x^2-171495x-1927800\) 2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 92.24.0.?, 276.48.0.?
23805.p4 23805.p \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.457822689$ $[1, -1, 0, 42750, -256689]$ \(y^2+xy=x^3-x^2+42750x-256689\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$
23805.q1 23805.q \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -375, -2700]$ \(y^2+xy=x^3-x^2-375x-2700\) 2.3.0.a.1, 20.6.0.d.1, 138.6.0.?, 1380.12.0.?
23805.q2 23805.q \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -30, -9]$ \(y^2+xy=x^3-x^2-30x-9\) 2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?
23805.r1 23805.r \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.700720437$ $[1, -1, 0, -198474, 34041555]$ \(y^2+xy=x^3-x^2-198474x+34041555\) 2.3.0.a.1, 20.6.0.d.1, 138.6.0.?, 1380.12.0.?
23805.r2 23805.r \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\Z/2\Z$ $9.401440875$ $[1, -1, 0, -15969, 205128]$ \(y^2+xy=x^3-x^2-15969x+205128\) 2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?
23805.s1 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -10283859, -12690955580]$ \(y^2+xy=x^3-x^2-10283859x-12690955580\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$
23805.s2 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -642834, -198115385]$ \(y^2+xy=x^3-x^2-642834x-198115385\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
23805.s3 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -523809, -273839090]$ \(y^2+xy=x^3-x^2-523809x-273839090\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$
23805.s4 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -380979, 90605938]$ \(y^2+xy=x^3-x^2-380979x+90605938\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$
23805.s5 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -47709, -1843160]$ \(y^2+xy=x^3-x^2-47709x-1843160\) 2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$
23805.s6 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -23904, 1408603]$ \(y^2+xy=x^3-x^2-23904x+1408603\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$
23805.s7 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -99, 61240]$ \(y^2+xy=x^3-x^2-99x+61240\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$
23805.s8 23805.s \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 166536, -13969427]$ \(y^2+xy=x^3-x^2+166536x-13969427\) 2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$
23805.t1 23805.t \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -2299563, 1343026919]$ \(y^2+y=x^3-2299563x+1343026919\) 6.2.0.a.1
23805.u1 23805.u \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $27.52976303$ $[0, 0, 1, -839523, 94936059]$ \(y^2+y=x^3-839523x+94936059\) 10.2.0.a.1
23805.v1 23805.v \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -1587, -7803]$ \(y^2+y=x^3-1587x-7803\) 10.2.0.a.1
23805.w1 23805.w \( 3^{2} \cdot 5 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $4.608375063$ $[0, 0, 1, -4347, -110383]$ \(y^2+y=x^3-4347x-110383\) 6.2.0.a.1
23805.x1 23805.x \( 3^{2} \cdot 5 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -477687, 144431415]$ \(y^2+y=x^3-477687x+144431415\) 230.2.0.?
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