Show commands:
SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 15600.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.ce1 | 15600ci1 | \([0, 1, 0, 4792, -926412]\) | \(304175/9477\) | \(-379080000000000\) | \([]\) | \(46080\) | \(1.4774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600.ce do not have complex multiplication.Modular form 15600.2.a.ce
sage: E.q_eigenform(10)