Properties

Label 213444.bh
Number of curves $1$
Conductor $213444$
CM no
Rank $1$

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

Elliptic curves in class 213444.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.bh1 213444be1 \([0, 0, 0, -362208, 83564404]\) \(5767168/27\) \(24603618722893056\) \([]\) \(1548288\) \(1.9951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 213444.bh do not have complex multiplication.

Modular form 213444.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{13} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display