Properties

Label 301180.j
Number of curves $1$
Conductor $301180$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 301180.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301180.j1 301180j1 \([0, 0, 0, -202612, -35609059]\) \(-16367616/275\) \(-15454909597252400\) \([]\) \(3772224\) \(1.9054\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301180.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 301180.j do not have complex multiplication.

Modular form 301180.2.a.j

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} - 2 q^{7} + 6 q^{9} - q^{11} + 2 q^{13} + 3 q^{15} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display