Properties

Label 128576.bc
Number of curves $1$
Conductor $128576$
CM no
Rank $0$

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

Elliptic curves in class 128576.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
128576.bc1 128576ca1 \([0, -1, 0, -2025, -34271]\) \(373698304/1681\) \(4132946944\) \([]\) \(78336\) \(0.69682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 128576.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 128576.bc do not have complex multiplication.

Modular form 128576.2.a.bc

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