Properties

Label 48400.bc
Number of curves $1$
Conductor $48400$
CM no
Rank $0$

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

Elliptic curves in class 48400.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.bc1 48400bm1 \([0, -1, 0, -78008, -9081488]\) \(-616295051/64000\) \(-5451776000000000\) \([]\) \(248832\) \(1.7588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 48400.bc do not have complex multiplication.

Modular form 48400.2.a.bc

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