↑

Properties

Label 446160.bh
Number of curves $1$
Conductor $446160$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("bh1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 446160.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 446160.bh do not have complex multiplication.

Modular form 446160.2.a.bh

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - q^{11} + q^{15} + 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 446160.bh

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
446160.bh1 446160bh1 \([0, -1, 0, -18910836416, 1001087224519680]\) \(-17218915986569071075813/2522559283200000\) \(-109569959268555691760025600000\) \([]\) \(891072000\) \(4.5866\) \(\Gamma_0(N)\)-optimal