Properties

Label 76050bp
Number of curves $1$
Conductor $76050$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 76050bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.r1 76050bp1 \([1, -1, 0, -30042, -4759884]\) \(-1557701041/4199040\) \(-8083217610000000\) \([]\) \(516096\) \(1.7398\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050bp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 76050bp do not have complex multiplication.

Modular form 76050.2.a.bp

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} + q^{11} + 3 q^{14} + q^{16} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display