Properties

Label 29744bj
Number of curves $1$
Conductor $29744$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 29744bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29744.o1 29744bj1 \([0, 0, 0, -61139, 5981586]\) \(-2808592297029/92274688\) \(-830371797139456\) \([]\) \(132480\) \(1.6377\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29744bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 29744bj do not have complex multiplication.

Modular form 29744.2.a.bj

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} - 3 q^{9} + q^{11} + 8 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display