Properties

Label 756.c
Number of curves $1$
Conductor $756$
CM no
Rank $1$

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

Elliptic curves in class 756.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
756.c1 756c1 \([0, 0, 0, -48, -124]\) \(196608/7\) \(435456\) \([]\) \(72\) \(-0.14750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 756.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 756.c do not have complex multiplication.

Modular form 756.2.a.c

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