Properties

Label 3654.l
Number of curves $1$
Conductor $3654$
CM no
Rank $0$

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

Elliptic curves in class 3654.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3654.l1 3654i1 \([1, -1, 0, -918, -10508]\) \(-117433042273/363776\) \(-265192704\) \([]\) \(1920\) \(0.48435\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3654.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3654.l do not have complex multiplication.

Modular form 3654.2.a.l

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