Properties

Label 14812.a
Number of curves $1$
Conductor $14812$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 14812.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14812.a1 14812a1 \([0, -1, 0, 882, 77665]\) \(32000/1127\) \(-2669383150448\) \([]\) \(12672\) \(1.0643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14812.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14812.a do not have complex multiplication.

Modular form 14812.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2 q^{9} + 2 q^{11} - 3 q^{13} + O(q^{20})\) Copy content Toggle raw display