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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 10082g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10082.g1 | 10082g1 | \([1, -1, 0, -13238611, -18460412875]\) | \(2003092024307193/9529458688\) | \(1220726363546240155648\) | \([]\) | \(1632960\) | \(2.8954\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10082g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10082g do not have complex multiplication.Modular form 10082.2.a.g
sage: E.q_eigenform(10)