Properties

Label 177744bh
Number of curves $1$
Conductor $177744$
CM no
Rank $1$

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

Elliptic curves in class 177744bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177744.a1 177744bh1 \([0, -1, 0, -815365, -330418259]\) \(-98867482624/20696067\) \(-12549163733600514048\) \([]\) \(6336000\) \(2.3864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177744bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177744bh do not have complex multiplication.

Modular form 177744.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - q^{7} + q^{9} - 5 q^{11} - 2 q^{13} + 4 q^{15} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display