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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 121968.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121968.n1 | 121968gk1 | \([0, 0, 0, -31944, -1698356]\) | \(90112/21\) | \(840094747962624\) | \([]\) | \(405504\) | \(1.5757\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121968.n do not have complex multiplication.Modular form 121968.2.a.n
sage: E.q_eigenform(10)