Properties

Label 426888bc
Number of curves $1$
Conductor $426888$
CM no
Rank $0$

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

Elliptic curves in class 426888bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.bc1 426888bc1 \([0, 0, 0, -795564, 273421764]\) \(-1905527808/2401\) \(-70165875617139456\) \([]\) \(6709248\) \(2.1411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 426888bc do not have complex multiplication.

Modular form 426888.2.a.bc

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 4 q^{13} - 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display