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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 301530.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301530.g1 | 301530g1 | \([1, 1, 0, 265812, -43344432]\) | \(14030653277159/13630204800\) | \(-2017759484820067200\) | \([]\) | \(6386688\) | \(2.1994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301530.g do not have complex multiplication.Modular form 301530.2.a.g
sage: E.q_eigenform(10)