Properties

Label 32340.bc
Number of curves $1$
Conductor $32340$
CM no
Rank $0$

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

Elliptic curves in class 32340.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.bc1 32340be1 \([0, 1, 0, -136586, -19474911]\) \(-359442469227794176/9021375\) \(-7072758000\) \([]\) \(103680\) \(1.4076\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32340.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32340.bc do not have complex multiplication.

Modular form 32340.2.a.bc

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} - q^{11} + 5q^{13} - q^{15} - 2q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display