Show commands:
SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 55440ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55440.dg1 | 55440ea1 | \([0, 0, 0, -51672, 4522156]\) | \(-81756451446784/24958395\) | \(-4657835508480\) | \([]\) | \(138240\) | \(1.4079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55440ea1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55440ea do not have complex multiplication.Modular form 55440.2.a.ea
sage: E.q_eigenform(10)