Properties

Label 435344.bz
Number of curves $1$
Conductor $435344$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 435344.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.bz1 435344bz1 \([0, 0, 0, 4127825, 81762895097]\) \(100718081964000000/37453512751940327\) \(-2892495238922885405224688\) \([]\) \(114566400\) \(3.3728\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344.bz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 435344.bz do not have complex multiplication.

Modular form 435344.2.a.bz

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