Show commands:
SageMath
E = EllipticCurve("gu1")
E.isogeny_class()
Elliptic curves in class 158400gu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 158400.d1 | 158400gu1 | \([0, 0, 0, -78750, -8506250]\) | \(-3200601600/121\) | \(-2041875000000\) | \([]\) | \(599040\) | \(1.4481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 158400gu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 158400gu do not have complex multiplication.Modular form 158400.2.a.gu
sage: E.q_eigenform(10)