Properties

Label 185130.cu
Number of curves $1$
Conductor $185130$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 185130.cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185130.cu1 185130dr1 \([1, -1, 0, -3118374, -2575871820]\) \(-2596717791529849/718080000000\) \(-927377319179520000000\) \([]\) \(13547520\) \(2.7390\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185130.cu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 185130.cu do not have complex multiplication.

Modular form 185130.2.a.cu

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 3 q^{7} - q^{8} - q^{10} + 5 q^{13} - 3 q^{14} + q^{16} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display