Properties

Label 209088dr
Number of curves $1$
Conductor $209088$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 209088dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
209088.hp1 209088dr1 \([0, 0, 0, -5808, 212960]\) \(-3072\) \(-7053137068032\) \([]\) \(491520\) \(1.1779\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 209088dr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 209088dr do not have complex multiplication.

Modular form 209088.2.a.dr

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} - 3 q^{7} + q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display