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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 27600w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27600.df1 | 27600w1 | \([0, 1, 0, -5033, -139437]\) | \(-3525581824/9315\) | \(-37260000000\) | \([]\) | \(36864\) | \(0.90347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27600w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 27600w do not have complex multiplication.Modular form 27600.2.a.w
sage: E.q_eigenform(10)