Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 22848br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.p1 | 22848br1 | \([0, -1, 0, 139, -723]\) | \(17997824/22491\) | \(-368492544\) | \([]\) | \(9216\) | \(0.32979\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848br do not have complex multiplication.Modular form 22848.2.a.br
sage: E.q_eigenform(10)