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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 16830.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16830.n1 | 16830a1 | \([1, -1, 0, -9195, -601579]\) | \(-4368317413923/5475734000\) | \(-107778872322000\) | \([]\) | \(57600\) | \(1.3860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16830.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16830.n do not have complex multiplication.Modular form 16830.2.a.n
sage: E.q_eigenform(10)