Properties

Label 38720p
Number of curves $1$
Conductor $38720$
CM no
Rank $0$

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

Elliptic curves in class 38720p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38720.s1 38720p1 \([0, -1, 0, 444, -63050]\) \(704/125\) \(-1714871048000\) \([]\) \(50688\) \(1.0268\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38720p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38720p do not have complex multiplication.

Modular form 38720.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} - 2 q^{9} - 4 q^{13} + q^{15} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display