Properties

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

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("53312.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 53312.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
53312.d1 53312bf1 [0, 0, 0, -364, -6608] [] 73728 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53312.d1 has rank \(1\).

Modular form 53312.2.a.d

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + 2q^{5} + 6q^{9} - 5q^{11} - 7q^{13} - 6q^{15} + q^{17} + 2q^{19} + O(q^{20}) \)