Properties

Label 112338.v
Number of curves $1$
Conductor $112338$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 112338.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112338.v1 112338r1 \([1, -1, 1, -197762, 31927493]\) \(4826809/316\) \(55998598603639644\) \([]\) \(1497600\) \(1.9635\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112338.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 112338.v do not have complex multiplication.

Modular form 112338.2.a.v

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