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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 182070.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182070.g1 | 182070dg1 | \([1, -1, 0, -6480, -218624]\) | \(-142843688929/16800000\) | \(-3539440800000\) | \([]\) | \(368640\) | \(1.1438\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182070.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182070.g do not have complex multiplication.Modular form 182070.2.a.g
sage: E.q_eigenform(10)