Properties

Label 6762.bh
Number of curves $1$
Conductor $6762$
CM no
Rank $1$

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

Elliptic curves in class 6762.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6762.bh1 6762bm1 \([1, 0, 0, -106, -3676]\) \(-2689684081/117006336\) \(-5733310464\) \([]\) \(3744\) \(0.55254\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6762.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6762.bh do not have complex multiplication.

Modular form 6762.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{8} + q^{9} - q^{10} - 3 q^{11} + q^{12} - 2 q^{13} - q^{15} + q^{16} + 2 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\)  Toggle raw display