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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 229320cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
229320.d1 | 229320cj1 | \([0, 0, 0, -588, -12348]\) | \(-27648/65\) | \(-52857342720\) | \([]\) | \(211200\) | \(0.74585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320cj do not have complex multiplication.Modular form 229320.2.a.cj
sage: E.q_eigenform(10)