Properties

Label 418950p
Number of curves $1$
Conductor $418950$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 418950p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.p1 418950p1 \([1, -1, 0, -21492, 1324966]\) \(-7025284375/747954\) \(-116889783648750\) \([]\) \(1990656\) \(1.4379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 418950p do not have complex multiplication.

Modular form 418950.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 5 q^{11} + q^{16} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display