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SageMath
E = EllipticCurve("nc1")
E.isogeny_class()
Elliptic curves in class 141120nc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.o1 | 141120nc1 | \([0, 0, 0, -588, 386512]\) | \(-392/1125\) | \(-64524128256000\) | \([]\) | \(405504\) | \(1.3288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120nc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120nc do not have complex multiplication.Modular form 141120.2.a.nc
sage: E.q_eigenform(10)