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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 33150.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33150.g1 | 33150g1 | \([1, 1, 0, -6025, 185125]\) | \(-1548415333009/77332320\) | \(-1208317500000\) | \([]\) | \(53760\) | \(1.0794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33150.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33150.g do not have complex multiplication.Modular form 33150.2.a.g
sage: E.q_eigenform(10)