Properties

Label 51376.bb
Number of curves $1$
Conductor $51376$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 51376.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51376.bb1 51376c1 \([0, -1, 0, -225, -7411]\) \(-1024/19\) \(-23477598976\) \([]\) \(34560\) \(0.67100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51376.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 51376.bb do not have complex multiplication.

Modular form 51376.2.a.bb

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{5} - 3 q^{7} + q^{9} - 3 q^{11} + 2 q^{15} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display