Properties

Label 6825.l
Number of curves $1$
Conductor $6825$
CM no
Rank $0$

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

Elliptic curves in class 6825.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6825.l1 6825i1 \([0, 1, 1, -658, 7219]\) \(-2019487744/361179\) \(-5643421875\) \([]\) \(6720\) \(0.59651\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6825.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6825.l do not have complex multiplication.

Modular form 6825.2.a.l

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + 2 q^{6} - q^{7} + q^{9} - 2 q^{11} + 2 q^{12} - q^{13} - 2 q^{14} - 4 q^{16} + 4 q^{17} + 2 q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display