Properties

Label 179776bc
Number of curves $1$
Conductor $179776$
CM no
Rank $1$

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

Elliptic curves in class 179776bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179776.r1 179776bc1 \([0, -1, 0, -10520641, -13626568447]\) \(-22472\) \(-5730712628937131589632\) \([]\) \(12272256\) \(2.9398\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179776bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 179776bc do not have complex multiplication.

Modular form 179776.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{5} + 2 q^{7} - 2 q^{9} - 4 q^{15} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display