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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 164730.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.g1 | 164730dd1 | \([1, 1, 0, 3437, -13907]\) | \(15529841222759/9338880000\) | \(-2698936320000\) | \([]\) | \(311040\) | \(1.0746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 164730.g do not have complex multiplication.Modular form 164730.2.a.g
sage: E.q_eigenform(10)