Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 33462be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33462.bc1 33462be1 \([1, -1, 0, -909, -3483]\) \(674636521/342144\) \(42152482944\) \([]\) \(26880\) \(0.73120\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33462be1 has rank \(1\).

Complex multiplication

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

Modular form 33462.2.a.be

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