Properties

Label 13552.b
Number of curves $1$
Conductor $13552$
CM no
Rank $0$

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

Elliptic curves in class 13552.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.b1 13552bc1 \([0, 0, 0, -16819, -1378190]\) \(-8773917273/8605184\) \(-516048891674624\) \([]\) \(103680\) \(1.5190\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13552.b do not have complex multiplication.

Modular form 13552.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{5} + q^{7} + 6 q^{9} + 5 q^{13} - 6 q^{15} + 8 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display