Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 66248.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66248.k1 | 66248m1 | \([0, -1, 0, -2760, 52753]\) | \(12544\) | \(185426694544\) | \([]\) | \(46080\) | \(0.90560\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66248.k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 66248.k do not have complex multiplication.Modular form 66248.2.a.k
sage: E.q_eigenform(10)