Properties

Label 377520hn
Number of curves $1$
Conductor $377520$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("hn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 377520hn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.hn1 377520hn1 \([0, 1, 0, -40, -7372]\) \(-121/390\) \(-23388119040\) \([]\) \(322560\) \(0.66857\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520hn1 has rank \(1\).

Complex multiplication

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

Modular form 377520.2.a.hn

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 3q^{7} + q^{9} - q^{13} + q^{15} + 3q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display