Properties

Label 51376.p
Number of curves $1$
Conductor $51376$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 51376.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51376.p1 51376d1 \([0, 0, 0, -18083, -940654]\) \(-22359484836/130321\) \(-3811428434944\) \([]\) \(72192\) \(1.2551\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51376.p1 has rank \(0\).

Complex multiplication

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

Modular form 51376.2.a.p

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