Properties

Label 388080.i
Number of curves $1$
Conductor $388080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 388080.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.i1 388080i1 \([0, 0, 0, -624603, 215614602]\) \(-42269574627/7040000\) \(-4488287740231680000\) \([]\) \(9031680\) \(2.3061\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388080.i do not have complex multiplication.

Modular form 388080.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} - 6 q^{13} + 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display