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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 31200.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.w1 | 31200k1 | \([0, -1, 0, -19633, -1054463]\) | \(-326938350400/767637\) | \(-1965150720000\) | \([]\) | \(92160\) | \(1.2392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 31200.w do not have complex multiplication.Modular form 31200.2.a.w
sage: E.q_eigenform(10)