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SageMath
sage: E = EllipticCurve("g1")
sage: E.isogeny_class()
Elliptic curves in class 3675.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
---|---|---|---|---|---|
3675.g1 | 3675k1 | [1, 0, 0, -8, 27] | [] | 360 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3675.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3675.g do not have complex multiplication.Modular form 3675.2.a.g
sage: E.q_eigenform(10)