Show commands:
SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 11466cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11466.cc1 | 11466cj1 | \([1, -1, 1, -3317, -83667]\) | \(-47045881/8736\) | \(-749252833056\) | \([]\) | \(15360\) | \(1.0030\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11466cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11466cj do not have complex multiplication.Modular form 11466.2.a.cj
sage: E.q_eigenform(10)