Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 33462bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33462.c1 33462bc1 \([1, -1, 0, -5812026, 5545542068]\) \(-2808592297029/92274688\) \(-713346088987992784896\) \([]\) \(2296320\) \(2.7763\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33462bc1 has rank \(1\).

Complex multiplication

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

Modular form 33462.2.a.bc

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