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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 392784g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.g1 | 392784g1 | \([0, -1, 0, -60629, 64636125]\) | \(-51147440128/3713355387\) | \(-1789429956301467648\) | \([]\) | \(5806080\) | \(2.1821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392784g do not have complex multiplication.Modular form 392784.2.a.g
sage: E.q_eigenform(10)