Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 243600x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 243600.x1 | 243600x1 | \([0, -1, 0, -212361408, 1323380685312]\) | \(-16548953231297345532409/2243315807248912200\) | \(-143572211663930380800000000\) | \([]\) | \(64696320\) | \(3.7513\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 243600x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 243600x do not have complex multiplication.Modular form 243600.2.a.x
sage: E.q_eigenform(10)