Properties

Label 50400bu
Number of curves $1$
Conductor $50400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 50400bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50400.p1 50400bu1 \([0, 0, 0, -75, -5150]\) \(-200/49\) \(-11430720000\) \([]\) \(28800\) \(0.60920\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50400bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 50400bu do not have complex multiplication.

Modular form 50400.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{7} - 3 q^{11} + 2 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display