Properties

Label 59850.bb
Number of curves $1$
Conductor $59850$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 59850.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59850.bb1 59850cq1 \([1, -1, 0, -74094417, 569589445341]\) \(-98735339854432038328225/250451215107692352768\) \(-114111834883442328229920000\) \([]\) \(16773120\) \(3.6877\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59850.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59850.bb do not have complex multiplication.

Modular form 59850.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} + 2 q^{11} - 3 q^{13} + q^{14} + q^{16} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display