Properties

Label 7800f
Number of curves $1$
Conductor $7800$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 7800f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7800.q1 7800f1 \([0, 1, 0, -5208, 191088]\) \(-781250/351\) \(-7020000000000\) \([]\) \(15840\) \(1.1718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7800f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7800f do not have complex multiplication.

Modular form 7800.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - 4 q^{11} - q^{13} - 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display