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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 435120.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435120.w1 | 435120w1 | \([0, -1, 0, -293036, -61494285]\) | \(-30170591444224/307716975\) | \(-28382834003151600\) | \([]\) | \(4032000\) | \(1.9753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435120.w do not have complex multiplication.Modular form 435120.2.a.w
sage: E.q_eigenform(10)