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SageMath
E = EllipticCurve("nc1")
E.isogeny_class()
Elliptic curves in class 463680.nc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
463680.nc1 | 463680nc1 | \([0, 0, 0, 5748, -47896]\) | \(28134973184/17609375\) | \(-13145328000000\) | \([]\) | \(921600\) | \(1.2063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 463680.nc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 463680.nc do not have complex multiplication.Modular form 463680.2.a.nc
sage: E.q_eigenform(10)