Properties

Label 487872.de
Number of curves $1$
Conductor $487872$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("de1")
 
E.isogeny_class()
 

Elliptic curves in class 487872.de

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.de1 487872de1 \([0, 0, 0, 1716, 26136]\) \(15185664/16807\) \(-618488994816\) \([]\) \(860160\) \(0.94906\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872.de1 has rank \(2\).

Complex multiplication

The elliptic curves in class 487872.de do not have complex multiplication.

Modular form 487872.2.a.de

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