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SageMath
E = EllipticCurve("nc1")
E.isogeny_class()
Elliptic curves in class 310464nc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.nc1 | 310464nc1 | \([0, 0, 0, -1736364, 880892208]\) | \(-34068278205171/10307264\) | \(-175161738088415232\) | \([]\) | \(3870720\) | \(2.2863\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464nc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464nc do not have complex multiplication.Modular form 310464.2.a.nc
sage: E.q_eigenform(10)