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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 302016n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302016.n1 | 302016n1 | \([0, -1, 0, -190762469, -1014052143597]\) | \(-462482914449031168/3326427\) | \(-5521852768206760128\) | \([]\) | \(49268736\) | \(3.1931\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302016n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302016n do not have complex multiplication.Modular form 302016.2.a.n
sage: E.q_eigenform(10)