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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 14994.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.x1 | 14994b1 | \([1, -1, 0, -7359, 244817]\) | \(932673987/68\) | \(3213604044\) | \([]\) | \(11520\) | \(0.87511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14994.x do not have complex multiplication.Modular form 14994.2.a.x
sage: E.q_eigenform(10)