Properties

Label 68544.f
Number of curves $1$
Conductor $68544$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 68544.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68544.f1 68544cw1 \([0, 0, 0, -54, -1566]\) \(-13824/833\) \(-1049340096\) \([]\) \(30720\) \(0.41078\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68544.f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 68544.f do not have complex multiplication.

Modular form 68544.2.a.f

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} - 3 q^{11} + 3 q^{13} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display