Properties

Label 53312.w
Number of curves $1$
Conductor $53312$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("53312.w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 53312.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
53312.w1 53312u1 [0, -1, 0, 47, 113] [] 9216 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53312.w1 has rank \(1\).

Modular form 53312.2.a.w

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{9} + 5q^{11} - 5q^{13} + q^{17} - 6q^{19} + O(q^{20}) \)