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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 399424j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
399424.j1 | 399424j1 | \([0, -1, 0, -1406305, -604033567]\) | \(4826809/316\) | \(20136758069070659584\) | \([]\) | \(9584640\) | \(2.4539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 399424j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 399424j do not have complex multiplication.Modular form 399424.2.a.j
sage: E.q_eigenform(10)