Show commands:
SageMath
E = EllipticCurve("ku1")
E.isogeny_class()
Elliptic curves in class 487872ku
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.ku1 | 487872ku1 | \([0, 0, 0, -15312, 503008]\) | \(274717696/83349\) | \(120457329721344\) | \([]\) | \(1474560\) | \(1.4069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872ku1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872ku do not have complex multiplication.Modular form 487872.2.a.ku
sage: E.q_eigenform(10)