Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 66248c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.y1 66248c1 \([0, 0, 0, -57967, -5274997]\) \(48384\) \(445209493600144\) \([]\) \(387072\) \(1.6011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248c1 has rank \(1\).

Complex multiplication

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

Modular form 66248.2.a.c

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + 6 q^{9} + q^{11} + 3 q^{15} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display