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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 300015g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
300015.g1 | 300015g1 | \([0, 0, 1, -3117, -68495]\) | \(-4594165018624/121506075\) | \(-88577928675\) | \([]\) | \(424704\) | \(0.88306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 300015g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 300015g do not have complex multiplication.Modular form 300015.2.a.g
sage: E.q_eigenform(10)