Properties

Label 33135.g
Number of curves $1$
Conductor $33135$
CM no
Rank $0$

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

Elliptic curves in class 33135.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33135.g1 33135m1 \([1, 0, 0, -79570, -8727883]\) \(-5168743489/57105\) \(-615547091362545\) \([]\) \(176640\) \(1.6529\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33135.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 33135.g do not have complex multiplication.

Modular form 33135.2.a.g

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