Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 33135.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33135.e1 33135b1 \([1, 1, 1, -6156, -188472]\) \(11679607249441/91125\) \(201295125\) \([]\) \(27648\) \(0.76673\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33135.e1 has rank \(0\).

Complex multiplication

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

Modular form 33135.2.a.e

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