Properties

Label 14896r
Number of curves $1$
Conductor $14896$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 14896r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14896.w1 14896r1 \([0, 1, 0, -408, -4684]\) \(-31250/19\) \(-4577957888\) \([]\) \(5280\) \(0.55578\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14896r1 has rank \(1\).

Complex multiplication

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

Modular form 14896.2.a.r

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