Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 88725.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.bb1 | 88725bi1 | \([0, -1, 1, -173, -1402]\) | \(-27262976/27783\) | \(-586915875\) | \([]\) | \(41472\) | \(0.37804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88725.bb do not have complex multiplication.Modular form 88725.2.a.bb
sage: E.q_eigenform(10)