Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 376712.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.b1 376712b1 \([0, 0, 0, -329623, 71528191]\) \(48384\) \(81860513723719696\) \([]\) \(5155920\) \(2.0356\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712.b1 has rank \(1\).

Complex multiplication

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

Modular form 376712.2.a.b

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