Properties

Label 59290.bb
Number of curves $1$
Conductor $59290$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 59290.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.bb1 59290i1 \([1, -1, 0, -4308530, 3515282700]\) \(-1022556447/25000\) \(-216253851020844175000\) \([]\) \(2217600\) \(2.6872\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59290.bb do not have complex multiplication.

Modular form 59290.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} - 3 q^{9} + q^{10} + 4 q^{13} + q^{16} + q^{17} + 3 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display