Properties

Label 121968d
Number of curves $1$
Conductor $121968$
CM no
Rank $1$

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

Elliptic curves in class 121968d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.g1 121968d1 \([0, 0, 0, 3861, 88209]\) \(15185664/16807\) \(-7044976206576\) \([]\) \(322560\) \(1.1518\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121968d do not have complex multiplication.

Modular form 121968.2.a.d

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