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SageMath
E = EllipticCurve("sk1")
E.isogeny_class()
Elliptic curves in class 176400.sk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.sk1 | 176400ja1 | \([0, 0, 0, 790125, -775608750]\) | \(10733445/57344\) | \(-291447255859200000000\) | \([]\) | \(7188480\) | \(2.6089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.sk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 176400.sk do not have complex multiplication.Modular form 176400.2.a.sk
sage: E.q_eigenform(10)