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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 5265n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5265.l1 | 5265n1 | \([1, -1, 0, -24, -487]\) | \(-2146689/142805\) | \(-104104845\) | \([]\) | \(1152\) | \(0.21817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5265n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5265n do not have complex multiplication.Modular form 5265.2.a.n
sage: E.q_eigenform(10)