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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 287490.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.w1 | 287490w1 | \([1, 1, 0, -15108312, 27357038976]\) | \(-2934648393013/790601280\) | \(-102747917833014813898560\) | \([]\) | \(44755200\) | \(3.1319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490.w do not have complex multiplication.Modular form 287490.2.a.w
sage: E.q_eigenform(10)