Properties

Label 111600bp
Number of curves $1$
Conductor $111600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 111600bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.bd1 111600bp1 \([0, 0, 0, -75, 3625]\) \(-256/31\) \(-5649750000\) \([]\) \(53760\) \(0.55070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 111600bp do not have complex multiplication.

Modular form 111600.2.a.bp

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 2 q^{11} + 2 q^{13} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display