Properties

Label 388080.e
Number of curves $1$
Conductor $388080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 388080.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.e1 388080e1 \([0, 0, 0, -194628, 37950892]\) \(-37135043584/6847995\) \(-150355447751013120\) \([]\) \(4423680\) \(2.0206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080.e1 has rank \(1\).

Complex multiplication

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

Modular form 388080.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} - 6 q^{13} - 5 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display