Properties

Label 329672.a
Number of curves $1$
Conductor $329672$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 329672.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329672.a1 329672a1 \([0, 0, 0, 1195061, 14070648214]\) \(108/49\) \(-85637949059927641158656\) \([]\) \(57372672\) \(3.0795\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329672.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 329672.a do not have complex multiplication.

Modular form 329672.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 3 q^{5} + 6 q^{9} + 3 q^{11} - 5 q^{13} + 9 q^{15} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display