Properties

Label 376712.bh
Number of curves $1$
Conductor $376712$
CM no
Rank $1$

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

Elliptic curves in class 376712.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.bh1 376712bh1 \([0, -1, 0, -769120, 257484396]\) \(94178\) \(534265496436180992\) \([]\) \(7297920\) \(2.2177\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 376712.bh do not have complex multiplication.

Modular form 376712.2.a.bh

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