Properties

Label 397800de
Number of curves 1
Conductor 397800
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("397800.de1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 397800de

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
397800.de1 397800de1 [0, 0, 0, -660, -19100] [] 301056 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800de1 has rank \(1\).

Modular form 397800.2.a.de

sage: E.q_eigenform(10)
 
\( q + 2q^{7} - q^{13} - q^{17} + 8q^{19} + O(q^{20}) \)