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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 66240.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66240.w1 | 66240en1 | \([0, 0, 0, -2628, 529848]\) | \(-2688885504/160908575\) | \(-120117607603200\) | \([]\) | \(161280\) | \(1.3815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66240.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66240.w do not have complex multiplication.Modular form 66240.2.a.w
sage: E.q_eigenform(10)