Properties

Label 148225bh
Number of curves $1$
Conductor $148225$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 148225bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
148225.bh1 148225bh1 \([0, 0, 1, 296450, 14266656]\) \(884736/539\) \(-1755307232312046875\) \([]\) \(3225600\) \(2.1900\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 148225bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 148225bh do not have complex multiplication.

Modular form 148225.2.a.bh

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{4} + 6 q^{9} + 6 q^{12} + 4 q^{13} + 4 q^{16} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display