Properties

Label 93025.d
Number of curves $1$
Conductor $93025$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 93025.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93025.d1 93025a1 \([1, 1, 1, -187988, 33055906]\) \(-912673/61\) \(-49105356812828125\) \([]\) \(803520\) \(1.9547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93025.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93025.d do not have complex multiplication.

Modular form 93025.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + 2 q^{3} - q^{4} - 2 q^{6} + q^{7} + 3 q^{8} + q^{9} + 5 q^{11} - 2 q^{12} - q^{13} - q^{14} - q^{16} + 4 q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display