Show commands:
SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 164730.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.cj1 | 164730be1 | \([1, 1, 1, 62129, 40347293]\) | \(3802025231/102885000\) | \(-717700804317285000\) | \([]\) | \(2820096\) | \(2.1063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.cj do not have complex multiplication.Modular form 164730.2.a.cj
sage: E.q_eigenform(10)