Properties

Label 388080kp
Number of curves $1$
Conductor $388080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("kp1")
 
E.isogeny_class()
 

Elliptic curves in class 388080kp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.kp1 388080kp1 \([0, 0, 0, 63, -189]\) \(48384/55\) \(-31434480\) \([]\) \(92160\) \(0.12503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080kp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 388080kp do not have complex multiplication.

Modular form 388080.2.a.kp

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{11} + 3 q^{13} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display