Properties

Label 68544r
Number of curves $1$
Conductor $68544$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 68544r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68544.r1 68544r1 \([0, 0, 0, -32994, -2308014]\) \(-3153242386944/2000033\) \(-2519465570496\) \([]\) \(184320\) \(1.3208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68544r1 has rank \(0\).

Complex multiplication

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

Modular form 68544.2.a.r

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