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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 103488.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.n1 | 103488gs1 | \([0, -1, 0, -2417, 1518441]\) | \(-12967168/8251551\) | \(-994085604965376\) | \([]\) | \(516096\) | \(1.5568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488.n do not have complex multiplication.Modular form 103488.2.a.n
sage: E.q_eigenform(10)