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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 162624.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.j1 | 162624hb1 | \([0, -1, 0, -107367, -12120579]\) | \(82458112/9261\) | \(15373215310711104\) | \([]\) | \(1672704\) | \(1.8388\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162624.j do not have complex multiplication.Modular form 162624.2.a.j
sage: E.q_eigenform(10)