Properties

Label 377520f
Number of curves $1$
Conductor $377520$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 377520f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.f1 377520f1 \([0, -1, 0, 322821184, -1114402857984]\) \(385226073849504061/278469750000000\) \(-2689503658089870336000000000\) \([]\) \(175633920\) \(3.9516\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 377520f do not have complex multiplication.

Modular form 377520.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - q^{13} + q^{15} - 6 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display