Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 66248w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.c1 66248w1 \([0, 1, 0, -466496, 161666896]\) \(-114244/49\) \(-4815385882779157504\) \([]\) \(1198080\) \(2.2924\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248w1 has rank \(1\).

Complex multiplication

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

Modular form 66248.2.a.w

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{5} + q^{9} + 2 q^{11} + 2 q^{15} + 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display