Properties

Label 95304.e
Number of curves $1$
Conductor $95304$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 95304.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95304.e1 95304m1 \([0, -1, 0, -48673373088, -4133209330877076]\) \(-1015621959753145219250/10356281643411\) \(-130037860229531791521790384128\) \([]\) \(204543360\) \(4.7448\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95304.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 95304.e do not have complex multiplication.

Modular form 95304.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} - q^{11} - q^{13} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display