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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 141610cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141610.ba1 | 141610cj1 | \([1, 0, 1, -66043, -17382074]\) | \(-26934258841/94699520\) | \(-112004993715077120\) | \([]\) | \(1105920\) | \(1.9574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141610cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141610cj do not have complex multiplication.Modular form 141610.2.a.cj
sage: E.q_eigenform(10)