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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 14994r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.e1 | 14994r1 | \([1, -1, 0, -179496, 4887616]\) | \(152186997697/85660416\) | \(359991318574750464\) | \([]\) | \(193536\) | \(2.0588\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14994r do not have complex multiplication.Modular form 14994.2.a.r
sage: E.q_eigenform(10)