Properties

Label 29645.b
Number of curves $1$
Conductor $29645$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 29645.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29645.b1 29645g1 \([1, -1, 1, 582, -9754]\) \(2079/5\) \(-52517925845\) \([]\) \(17424\) \(0.74096\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29645.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 29645.b do not have complex multiplication.

Modular form 29645.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{5} + 3q^{8} - 3q^{9} + q^{10} - q^{16} - 6q^{17} + 3q^{18} - 2q^{19} + O(q^{20})\)  Toggle raw display