Properties

Label 18207.c
Number of curves $1$
Conductor $18207$
CM no
Rank $1$

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

Elliptic curves in class 18207.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18207.c1 18207d1 \([0, 0, 1, 9271698, -9829771956]\) \(5009339741732864/5271114033171\) \(-92752039559566776646971\) \([]\) \(1253376\) \(3.0937\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18207.c do not have complex multiplication.

Modular form 18207.2.a.c

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