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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 88935.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.w1 | 88935cj1 | \([1, 0, 0, -7400, -261843]\) | \(-7558595228569/597871125\) | \(-3544777900125\) | \([]\) | \(145152\) | \(1.1550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935.w do not have complex multiplication.Modular form 88935.2.a.w
sage: E.q_eigenform(10)