Show commands:
SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 55440cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55440.k1 | 55440cu1 | \([0, 0, 0, -48, 14128]\) | \(-4096/28875\) | \(-86220288000\) | \([]\) | \(46080\) | \(0.77727\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55440cu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55440cu do not have complex multiplication.Modular form 55440.2.a.cu
sage: E.q_eigenform(10)