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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 52416ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52416.fz1 | 52416ce1 | \([0, 0, 0, -57878796, 170452995568]\) | \(-112205650221491190337/745029571313664\) | \(-142377368286045419864064\) | \([]\) | \(7311360\) | \(3.2783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52416ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52416ce do not have complex multiplication.Modular form 52416.2.a.ce
sage: E.q_eigenform(10)