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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 166410.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.g1 | 166410ce1 | \([1, -1, 0, -4218840, -465718464]\) | \(974603041/552960\) | \(4711605167391139491840\) | \([]\) | \(12483072\) | \(2.8486\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166410.g do not have complex multiplication.Modular form 166410.2.a.g
sage: E.q_eigenform(10)