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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 116886.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.n1 | 116886u1 | \([1, 0, 1, -8352, -46466]\) | \(4399969620937/2484466992\) | \(36375081229872\) | \([]\) | \(497664\) | \(1.2921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 116886.n do not have complex multiplication.Modular form 116886.2.a.n
sage: E.q_eigenform(10)