Properties

Label 45675l
Number of curves $1$
Conductor $45675$
CM no
Rank $0$

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

Elliptic curves in class 45675l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
45675.j1 45675l1 \([1, -1, 1, -5, 6122]\) \(-1/1421\) \(-16186078125\) \([]\) \(33600\) \(0.63784\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 45675l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 45675l do not have complex multiplication.

Modular form 45675.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{7} + 3 q^{8} + 5 q^{11} + 5 q^{13} + q^{14} - q^{16} - 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display