Properties

Label 96330.v
Number of curves $1$
Conductor $96330$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 96330.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96330.v1 96330v1 \([1, 1, 0, -96502, -3661484]\) \(3479896099239001/1815478272000\) \(51851874926592000\) \([]\) \(1313280\) \(1.8991\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96330.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 96330.v do not have complex multiplication.

Modular form 96330.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + 3 q^{7} - q^{8} + q^{9} - q^{10} - 6 q^{11} - q^{12} - 3 q^{14} - q^{15} + q^{16} + 4 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display