Properties

Label 14896.b
Number of curves $1$
Conductor $14896$
CM no
Rank $1$

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

Elliptic curves in class 14896.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14896.b1 14896v1 \([0, 1, 0, -9, -29]\) \(-7168/19\) \(-238336\) \([]\) \(1152\) \(-0.28069\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14896.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14896.b do not have complex multiplication.

Modular form 14896.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 2 q^{5} + q^{9} + q^{11} + 4 q^{13} + 4 q^{15} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display