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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 69360.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.j1 | 69360l1 | \([0, -1, 0, -8930196, -10898969904]\) | \(-44103737752144/3228504075\) | \(-5765442899066898451200\) | \([]\) | \(3329280\) | \(2.9248\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69360.j do not have complex multiplication.Modular form 69360.2.a.j
sage: E.q_eigenform(10)