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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 84966j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.v1 | 84966j1 | \([1, 1, 0, -48041487, 183963151653]\) | \(-12589171852447/7727480832\) | \(-7526859768790213741510656\) | \([]\) | \(22063104\) | \(3.4753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84966j do not have complex multiplication.Modular form 84966.2.a.j
sage: E.q_eigenform(10)