Properties

Label 33150ca
Number of curves $1$
Conductor $33150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 33150ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33150.cj1 33150ca1 \([1, 0, 0, 95562, -4973508]\) \(6176736766011239/4260587175000\) \(-66571674609375000\) \([]\) \(345600\) \(1.9167\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33150ca1 has rank \(0\).

Complex multiplication

The elliptic curves in class 33150ca do not have complex multiplication.

Modular form 33150.2.a.ca

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