Show commands:
SageMath
E = EllipticCurve("lg1")
E.isogeny_class()
Elliptic curves in class 176400lg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.u1 | 176400lg1 | \([0, 0, 0, -102900, -15194900]\) | \(-8780800/2187\) | \(-30011281060320000\) | \([]\) | \(1257984\) | \(1.8796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400lg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400lg do not have complex multiplication.Modular form 176400.2.a.lg
sage: E.q_eigenform(10)