Properties

Label 66248a
Number of curves $1$
Conductor $66248$
CM no
Rank $1$

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

Elliptic curves in class 66248a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.i1 66248a1 \([0, -1, 0, -135256, -13826203]\) \(614656/169\) \(75240404418424336\) \([]\) \(451584\) \(1.9459\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 66248a do not have complex multiplication.

Modular form 66248.2.a.a

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