Properties

Label 144400.bc
Number of curves $1$
Conductor $144400$
CM no
Rank $0$

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

Elliptic curves in class 144400.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
144400.bc1 144400cg1 \([0, -1, 0, -75208, -11343088]\) \(-31250/19\) \(-28603895648000000\) \([]\) \(829440\) \(1.8598\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 144400.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 144400.bc do not have complex multiplication.

Modular form 144400.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} - 2 q^{9} - 2 q^{11} + q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display