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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 7524.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7524.g1 | 7524d1 | \([0, 0, 0, 216, -972]\) | \(221184/209\) | \(-1053119232\) | \([]\) | \(3168\) | \(0.41841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7524.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7524.g do not have complex multiplication.Modular form 7524.2.a.g
sage: E.q_eigenform(10)