Properties

Label 435344.a
Number of curves $1$
Conductor $435344$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.a1 435344a1 \([0, 0, 0, -4139824, 4543290544]\) \(-396870925750272/221358574619\) \(-4376393974571666518016\) \([]\) \(49996800\) \(2.8559\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435344.a do not have complex multiplication.

Modular form 435344.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3q^{3} - 3q^{5} - q^{7} + 6q^{9} + 3q^{11} + 9q^{15} + 4q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display