Properties

Label 393008.bw
Number of curves $1$
Conductor $393008$
CM no
Rank $2$

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

Elliptic curves in class 393008.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
393008.bw1 393008bw1 \([0, 1, 0, -56789, 31883267]\) \(-23068672/487403\) \(-427946646225072128\) \([]\) \(3801600\) \(2.0640\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 393008.bw1 has rank \(2\).

Complex multiplication

The elliptic curves in class 393008.bw do not have complex multiplication.

Modular form 393008.2.a.bw

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} + q^{7} - 2 q^{9} + 4 q^{13} - 2 q^{15} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display