Properties

Label 8450.l
Number of curves $1$
Conductor $8450$
CM no
Rank $0$

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

Elliptic curves in class 8450.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8450.l1 8450l1 \([1, -1, 0, -93742, 11137166]\) \(-48317985/338\) \(-637289625781250\) \([]\) \(100800\) \(1.6741\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8450.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8450.l do not have complex multiplication.

Modular form 8450.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} - 3 q^{6} - q^{8} + 6 q^{9} + 3 q^{11} + 3 q^{12} + q^{16} - 7 q^{17} - 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display