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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 393129.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393129.cj1 | 393129cj1 | \([1, -1, 0, 8247519, 127819670490]\) | \(2828663/323433\) | \(-7094091340502612631171657\) | \([]\) | \(78796800\) | \(3.4478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393129.cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 393129.cj do not have complex multiplication.Modular form 393129.2.a.cj
sage: E.q_eigenform(10)