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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 82110.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82110.g1 | 82110g1 | \([1, 1, 0, -633, -6867]\) | \(-28119423707929/2562817320\) | \(-2562817320\) | \([]\) | \(69120\) | \(0.54825\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82110.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 82110.g do not have complex multiplication.Modular form 82110.2.a.g
sage: E.q_eigenform(10)