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SageMath
E = EllipticCurve("gw1")
E.isogeny_class()
Elliptic curves in class 100800gw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.gd1 | 100800gw1 | \([0, 0, 0, -1440, -21600]\) | \(-221184/7\) | \(-10450944000\) | \([]\) | \(64512\) | \(0.69869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800gw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800gw do not have complex multiplication.Modular form 100800.2.a.gw
sage: E.q_eigenform(10)