Properties

Label 39780v
Number of curves $1$
Conductor $39780$
CM no
Rank $2$

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

Elliptic curves in class 39780v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39780.n1 39780v1 \([0, 0, 0, -777, 9929]\) \(-4447738624/1077375\) \(-12566502000\) \([]\) \(34560\) \(0.65639\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39780v1 has rank \(2\).

Complex multiplication

The elliptic curves in class 39780v do not have complex multiplication.

Modular form 39780.2.a.v

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