Properties

Label 33635.g
Number of curves $1$
Conductor $33635$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 33635.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33635.g1 33635h1 \([1, 1, 1, -19240, 984982]\) \(923521/35\) \(29851186310435\) \([]\) \(85560\) \(1.3539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33635.g1 has rank \(0\).

Complex multiplication

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

Modular form 33635.2.a.g

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