Properties

Label 51520.w
Number of curves $1$
Conductor $51520$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 51520.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51520.w1 51520bh1 \([0, -1, 0, -805, -9475]\) \(-3525581824/462875\) \(-7583744000\) \([]\) \(27648\) \(0.62878\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51520.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51520.w do not have complex multiplication.

Modular form 51520.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2 q^{9} + 3 q^{11} - 3 q^{13} - q^{15} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display