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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 9282j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9282.n1 | 9282j1 | \([1, 0, 1, 13, -52]\) | \(270840023/1364454\) | \(-1364454\) | \([]\) | \(1632\) | \(-0.14059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9282j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9282j do not have complex multiplication.Modular form 9282.2.a.j
sage: E.q_eigenform(10)