Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 68544.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68544.l1 68544cq1 \([0, 0, 0, -1524, -26854]\) \(-8390176768/1821771\) \(-84996547776\) \([]\) \(71680\) \(0.81807\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68544.l1 has rank \(0\).

Complex multiplication

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

Modular form 68544.2.a.l

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