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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 126960.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126960.w1 | 126960bg1 | \([0, -1, 0, -2821, -17555]\) | \(2166784/1125\) | \(1289507328000\) | \([]\) | \(184320\) | \(1.0157\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126960.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 126960.w do not have complex multiplication.Modular form 126960.2.a.w
sage: E.q_eigenform(10)