Properties

Label 380926.bh
Number of curves $1$
Conductor $380926$
CM no
Rank $1$

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

Elliptic curves in class 380926.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.bh1 380926bh1 \([1, 0, 0, -18509, -970607]\) \(501077100433/94208\) \(131843059712\) \([]\) \(1019520\) \(1.1354\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 380926.bh do not have complex multiplication.

Modular form 380926.2.a.bh

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