Properties

Label 7400.c
Number of curves $1$
Conductor $7400$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 7400.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7400.c1 7400e1 \([0, -1, 0, -41633, -2696363]\) \(1995203838976/361328125\) \(1445312500000000\) \([]\) \(23040\) \(1.6278\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7400.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7400.c do not have complex multiplication.

Modular form 7400.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} - 2 q^{9} - 3 q^{11} + 8 q^{17} + O(q^{20})\) Copy content Toggle raw display