Properties

Label 409101.l
Number of curves $1$
Conductor $409101$
CM no
Rank $0$

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

Elliptic curves in class 409101.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
409101.l1 409101l1 \([1, 0, 0, -107654, 13421673]\) \(9692612875033/135163203\) \(1924119696039387\) \([]\) \(2119680\) \(1.7381\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 409101.l do not have complex multiplication.

Modular form 409101.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - 2 q^{5} - q^{6} + 3 q^{8} + q^{9} + 2 q^{10} - q^{12} + 2 q^{13} - 2 q^{15} - q^{16} - 2 q^{17} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display