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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 405600.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.w1 | 405600w1 | \([0, -1, 0, -3098333, 2101202037]\) | \(-425920000/243\) | \(-1876663339200000000\) | \([]\) | \(9849600\) | \(2.4527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600.w do not have complex multiplication.Modular form 405600.2.a.w
sage: E.q_eigenform(10)