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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 221067.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.x1 | 221067x1 | \([1, -1, 0, -2588031, -1603683284]\) | \(-1484391946907017/1946200179\) | \(-2513455192440566451\) | \([]\) | \(5760000\) | \(2.4375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221067.x do not have complex multiplication.Modular form 221067.2.a.x
sage: E.q_eigenform(10)