Show commands:
SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 127008.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127008.br1 | 127008bn1 | \([0, 0, 0, -5292, 296352]\) | \(-576\) | \(-28455140560896\) | \([]\) | \(207360\) | \(1.2721\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127008.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 127008.br do not have complex multiplication.Modular form 127008.2.a.br
sage: E.q_eigenform(10)