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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 283746n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283746.n1 | 283746n1 | \([1, 0, 1, -310829, -66050200]\) | \(70593496254289/824180736\) | \(38774308828348416\) | \([]\) | \(3483648\) | \(1.9953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283746n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283746n do not have complex multiplication.Modular form 283746.2.a.n
sage: E.q_eigenform(10)