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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 426888w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.w1 | 426888w1 | \([0, 0, 0, 2541, 65219]\) | \(6912/11\) | \(-2887531050096\) | \([]\) | \(614400\) | \(1.0761\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888w1 has rank \(2\).
Complex multiplication
The elliptic curves in class 426888w do not have complex multiplication.Modular form 426888.2.a.w
sage: E.q_eigenform(10)