Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 33135.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33135.c1 33135c1 \([1, 1, 1, -265126, -4395165052]\) \(-191202526081/774039398625\) \(-8343537350908541522625\) \([]\) \(3179520\) \(2.8853\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33135.c1 has rank \(0\).

Complex multiplication

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

Modular form 33135.2.a.c

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