Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 377520.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.s1 377520s1 \([0, -1, 0, -134297456, -599014017600]\) \(-305088363822419089/15974400000\) \(-14025746467415654400000\) \([]\) \(43084800\) \(3.3181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520.s1 has rank \(0\).

Complex multiplication

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

Modular form 377520.2.a.s

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