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SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 259182.ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.ee1 | 259182ee1 | \([1, -1, 1, -7481, -338093]\) | \(-19438895619/9714446\) | \(-23136342314778\) | \([]\) | \(1036800\) | \(1.2694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.ee1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.ee do not have complex multiplication.Modular form 259182.2.a.ee
sage: E.q_eigenform(10)