Properties

Label 338130.c
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

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

Elliptic curves in class 338130.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.c1 338130c1 \([1, -1, 0, -310440, 91614016]\) \(-1033364331/532480\) \(-1704933156882309120\) \([]\) \(8146944\) \(2.2029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130.c do not have complex multiplication.

Modular form 338130.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 4q^{7} - q^{8} + q^{10} + 3q^{11} + q^{13} + 4q^{14} + q^{16} + 5q^{19} + O(q^{20})\)  Toggle raw display