Show commands:
SageMath
E = EllipticCurve("ri1")
E.isogeny_class()
Elliptic curves in class 176400.ri
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.ri1 | 176400kr1 | \([0, 0, 0, 31605, -6204870]\) | \(10733445/57344\) | \(-18652624374988800\) | \([]\) | \(1437696\) | \(1.8042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.ri1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.ri do not have complex multiplication.Modular form 176400.2.a.ri
sage: E.q_eigenform(10)