Properties

Label 3376.b
Number of curves $1$
Conductor $3376$
CM no
Rank $1$

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

Elliptic curves in class 3376.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3376.b1 3376d1 \([0, 0, 0, 13, 178]\) \(59319/3376\) \(-13828096\) \([]\) \(576\) \(0.049844\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3376.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3376.b do not have complex multiplication.

Modular form 3376.2.a.b

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2 q^{7} - 3 q^{9} + 3 q^{11} - 7 q^{13} + 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display