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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 14440n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14440.a1 | 14440n1 | \([0, 0, 0, -24187, -6351434]\) | \(-16241202/171475\) | \(-16521610126284800\) | \([]\) | \(172800\) | \(1.7941\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14440n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14440n do not have complex multiplication.Modular form 14440.2.a.n
sage: E.q_eigenform(10)