Properties

Label 121680.t
Number of curves $1$
Conductor $121680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 121680.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.t1 121680dj1 \([0, 0, 0, -1614288, -1240197712]\) \(-32278933504/27421875\) \(-395225299235520000000\) \([]\) \(4515840\) \(2.6498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121680.t do not have complex multiplication.

Modular form 121680.2.a.t

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