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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 440818a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.a1 | 440818a1 | \([1, -1, 0, -112903, -14571203]\) | \(116262290148949233/22166953984\) | \(30346560004096\) | \([]\) | \(5840640\) | \(1.5879\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 440818a do not have complex multiplication.Modular form 440818.2.a.a
sage: E.q_eigenform(10)