Properties

Label 33462e
Number of curves $1$
Conductor $33462$
CM no
Rank $1$

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

Elliptic curves in class 33462e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33462.s1 33462e1 \([1, -1, 0, -285, -1793]\) \(-3326427/22\) \(-16965234\) \([]\) \(11520\) \(0.22296\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33462e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33462e do not have complex multiplication.

Modular form 33462.2.a.e

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