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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 8281.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8281.i1 | 8281a1 | \([1, -1, 0, -47098, -2131193]\) | \(2457\) | \(4702525276151521\) | \([]\) | \(72072\) | \(1.7049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8281.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8281.i do not have complex multiplication.Modular form 8281.2.a.i
sage: E.q_eigenform(10)