Properties

Label 94136.c
Number of curves $1$
Conductor $94136$
CM no
Rank $1$

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

Elliptic curves in class 94136.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94136.c1 94136e1 \([0, 1, 0, -42845888, -107961596555]\) \(-68086393504000/343\) \(-43821269657416048\) \([]\) \(4670064\) \(2.8128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94136.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 94136.c do not have complex multiplication.

Modular form 94136.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{7} + q^{9} + 3 q^{11} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display