Properties

Label 33462v
Number of curves $1$
Conductor $33462$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 33462v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33462.p1 33462v1 \([1, -1, 0, -50985, 4422627]\) \(703971110401/3897234\) \(81144188299746\) \([]\) \(160512\) \(1.5117\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33462v1 has rank \(2\).

Complex multiplication

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

Modular form 33462.2.a.v

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