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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 350727g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350727.g1 | 350727g1 | \([0, 1, 1, -789651, -270345013]\) | \(102937628616408334336/1607751982629\) | \(850500798810741\) | \([]\) | \(2985984\) | \(1.9992\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350727g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350727g do not have complex multiplication.Modular form 350727.2.a.g
sage: E.q_eigenform(10)