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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 297024g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297024.g1 | 297024g1 | \([0, -1, 0, -1128457, -459776879]\) | \(155195521637763995392/484067975275521\) | \(495685606682133504\) | \([]\) | \(4838400\) | \(2.2629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297024g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 297024g do not have complex multiplication.Modular form 297024.2.a.g
sage: E.q_eigenform(10)