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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 17640cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17640.bi1 | 17640cj1 | \([0, 0, 0, -588, 42532]\) | \(-1024/35\) | \(-768464444160\) | \([]\) | \(23040\) | \(0.96093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17640cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17640cj do not have complex multiplication.Modular form 17640.2.a.cj
sage: E.q_eigenform(10)