Properties

Label 6300y
Number of curves $1$
Conductor $6300$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 6300y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6300.o1 6300y1 \([0, 0, 0, -1125, -16875]\) \(-34560/7\) \(-31893750000\) \([]\) \(5760\) \(0.73795\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6300y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6300y do not have complex multiplication.

Modular form 6300.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{7} + 5 q^{11} + 6 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display