Properties

Label 342720gm
Number of curves 1
Conductor 342720
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("342720.gm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 342720gm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
342720.gm1 342720gm1 [0, 0, 0, -171354648, -863500557278] [] 48384000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 342720gm1 has rank \(1\).

Modular form 342720.2.a.gm

sage: E.q_eigenform(10)
 
\( q - q^{5} + q^{7} + 2q^{11} + 5q^{13} - q^{17} - 2q^{19} + O(q^{20}) \)