Properties

Label 338130bw
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 338130bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.bw1 338130bw1 \([1, -1, 0, -3272979, -2306848715]\) \(-71236154187/1040000\) \(-56609108724607920000\) \([]\) \(11241216\) \(2.5945\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130bw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338130bw do not have complex multiplication.

Modular form 338130.2.a.bw

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 2 q^{7} - q^{8} - q^{10} + q^{13} - 2 q^{14} + q^{16} - q^{19} + O(q^{20})\) Copy content Toggle raw display