Properties

Label 338130di
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("di1")
 
E.isogeny_class()
 

Elliptic curves in class 338130di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.di1 338130di1 \([1, -1, 1, -2793962, -2470784471]\) \(-1033364331/532480\) \(-1242896271367203348480\) \([]\) \(24440832\) \(2.7522\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130di1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130di do not have complex multiplication.

Modular form 338130.2.a.di

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