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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 8281.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8281.j1 | 8281e1 | \([1, -1, 0, -961, 6488]\) | \(2457\) | \(39970805329\) | \([]\) | \(10296\) | \(0.73199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8281.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8281.j do not have complex multiplication.Modular form 8281.2.a.j
sage: E.q_eigenform(10)