Show commands:
SageMath
E = EllipticCurve("lk1")
E.isogeny_class()
Elliptic curves in class 176400lk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.bo1 | 176400lk1 | \([0, 0, 0, 128625, -556731875]\) | \(1280/729\) | \(-134034757860543750000\) | \([]\) | \(5160960\) | \(2.5411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400lk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400lk do not have complex multiplication.Modular form 176400.2.a.lk
sage: E.q_eigenform(10)