Properties

Label 37030.c
Number of curves $1$
Conductor $37030$
CM no
Rank $0$

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

Elliptic curves in class 37030.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37030.c1 37030c1 \([1, 1, 0, -27570168, -55759909712]\) \(-55945300906681/33614000\) \(-1392510747935597486000\) \([]\) \(3179520\) \(3.0009\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37030.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37030.c do not have complex multiplication.

Modular form 37030.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{7} - q^{8} - 2 q^{9} + q^{10} - q^{11} - q^{12} - 6 q^{13} + q^{14} + q^{15} + q^{16} + 3 q^{17} + 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display