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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 440818n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.n1 | 440818n1 | \([1, -1, 1, -154564464, -739466224941]\) | \(116262290148949233/22166953984\) | \(77860970424812255371264\) | \([]\) | \(216103680\) | \(3.3933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 440818n do not have complex multiplication.Modular form 440818.2.a.n
sage: E.q_eigenform(10)