Properties

Label 66248d
Number of curves $1$
Conductor $66248$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 66248d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.o1 66248d1 \([0, 0, 0, -563108, 177842756]\) \(-135834624/15379\) \(-2235714874147465984\) \([]\) \(774144\) \(2.2578\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248d1 has rank \(2\).

Complex multiplication

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

Modular form 66248.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{9} - 2 q^{11} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display