Properties

Label 38808.c
Number of curves $1$
Conductor $38808$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 38808.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.c1 38808cr1 \([0, 0, 0, -2621892, 1720700660]\) \(-37811178496/2381643\) \(-125552266342923264768\) \([]\) \(2225664\) \(2.6104\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38808.c do not have complex multiplication.

Modular form 38808.2.a.c

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + q^{11} + 5 q^{13} - 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display