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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 3950g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3950.j1 | 3950g1 | \([1, 0, 0, -88, 292]\) | \(4826809/316\) | \(4937500\) | \([]\) | \(1120\) | \(0.034154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3950g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3950g do not have complex multiplication.Modular form 3950.2.a.g
sage: E.q_eigenform(10)