Properties

Label 412224.bh
Number of curves $1$
Conductor $412224$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 412224.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.bh1 412224bh1 \([0, -1, 0, -5157, -186435]\) \(-925932608512/397609371\) \(-6514431934464\) \([]\) \(602112\) \(1.1663\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 412224.bh do not have complex multiplication.

Modular form 412224.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} + 3 q^{7} + q^{9} - 2 q^{11} + 3 q^{13} - 2 q^{15} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display