Properties

Label 38720.v
Number of curves $1$
Conductor $38720$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 38720.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38720.v1 38720bz1 \([0, -1, 0, -1452161, -2938364735]\) \(-5833944216008/60897409375\) \(-3535125723538534400000\) \([]\) \(1612800\) \(2.8169\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38720.v1 has rank \(1\).

Complex multiplication

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

Modular form 38720.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} - 2 q^{9} - 2 q^{13} + q^{15} + 5 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display