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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 492272n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
492272.n1 | 492272n1 | \([0, 0, 0, -496, -3856]\) | \(3294646272/338437\) | \(1386237952\) | \([]\) | \(545280\) | \(0.48968\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 492272n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 492272n do not have complex multiplication.Modular form 492272.2.a.n
sage: E.q_eigenform(10)