Properties

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

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Show commands: SageMath
E = EllipticCurve("gi1")
 
E.isogeny_class()
 

Elliptic curves in class 377520gi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.gi1 377520gi1 \([0, 1, 0, -40, -417100]\) \(-14641/151632000\) \(-75151245312000\) \([]\) \(870912\) \(1.3414\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520gi1 has rank \(1\).

Complex multiplication

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

Modular form 377520.2.a.gi

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{7} + q^{9} - q^{13} + q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display