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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 3330.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.n1 | 3330o1 | \([1, -1, 1, -62333, -6089019]\) | \(-991990479802737267/22190066240000\) | \(-599131788480000\) | \([]\) | \(17280\) | \(1.6240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3330.n do not have complex multiplication.Modular form 3330.2.a.n
sage: E.q_eigenform(10)