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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 176890cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176890.e1 | 176890cj1 | \([1, -1, 0, -843544, 318625600]\) | \(-11993263569/972800\) | \(-5384351550546483200\) | \([]\) | \(7413120\) | \(2.3404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176890cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176890cj do not have complex multiplication.Modular form 176890.2.a.cj
sage: E.q_eigenform(10)