Properties

Label 33635l
Number of curves $1$
Conductor $33635$
CM no
Rank $1$

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

Elliptic curves in class 33635l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33635.b1 33635l1 \([1, 0, 0, -20, -35]\) \(923521/35\) \(33635\) \([]\) \(2760\) \(-0.36310\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33635l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33635l do not have complex multiplication.

Modular form 33635.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - 2 q^{3} - q^{4} + q^{5} + 2 q^{6} - q^{7} + 3 q^{8} + q^{9} - q^{10} - 4 q^{11} + 2 q^{12} + 5 q^{13} + q^{14} - 2 q^{15} - q^{16} - 3 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display