↑

Properties

Label 440896bb
Number of curves $1$
Conductor $440896$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 440896bb1 has rank \(2\).

Complex multiplication

The elliptic curves in class 440896bb do not have complex multiplication.

Modular form 440896.2.a.bb

Copy content sage:E.q_eigenform(10)
 
\(q + q^{3} + q^{7} - 2 q^{9} + q^{11} - 4 q^{13} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 440896bb

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
440896.bb1 440896bb1 \([0, 1, 0, -91853, -13414669]\) \(-256000/83\) \(-27787316213378048\) \([]\) \(1763328\) \(1.8679\) \(\Gamma_0(N)\)-optimal