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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6048.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6048.g1 | 6048m1 | \([0, 0, 0, -4968, 132624]\) | \(18688512/343\) | \(248878780416\) | \([]\) | \(6912\) | \(0.98143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6048.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6048.g do not have complex multiplication.Modular form 6048.2.a.g
sage: E.q_eigenform(10)