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SageMath
E = EllipticCurve("jj1")
E.isogeny_class()
Elliptic curves in class 139650.jj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.jj1 | 139650u1 | \([1, 0, 0, 70797, -1521003]\) | \(6407104400643499/3872252373348\) | \(-23717545786756500\) | \([]\) | \(1513728\) | \(1.8313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.jj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.jj do not have complex multiplication.Modular form 139650.2.a.jj
sage: E.q_eigenform(10)