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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 8281j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8281.m1 | 8281j1 | \([0, -1, 1, -1486, 26795]\) | \(-4096\) | \(-88656874579\) | \([]\) | \(10752\) | \(0.81904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8281j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8281j do not have complex multiplication.Modular form 8281.2.a.j
sage: E.q_eigenform(10)