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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 88935j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.bb1 | 88935j1 | \([0, -1, 1, -387361, 91888026]\) | \(12845056/165\) | \(82569652207958685\) | \([]\) | \(806400\) | \(2.0546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935j do not have complex multiplication.Modular form 88935.2.a.j
sage: E.q_eigenform(10)