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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 277350.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277350.g1 | 277350g1 | \([1, 1, 0, -393875, -95746875]\) | \(-126504750721/675000\) | \(-36057666796875000\) | \([]\) | \(3810240\) | \(2.0217\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350.g do not have complex multiplication.Modular form 277350.2.a.g
sage: E.q_eigenform(10)