Properties

Label 756.d
Number of curves $1$
Conductor $756$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 756.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
756.d1 756a1 \([0, 0, 0, -432, 3348]\) \(196608/7\) \(317447424\) \([]\) \(216\) \(0.40181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 756.d1 has rank \(0\).

Complex multiplication

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

Modular form 756.2.a.d

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