Properties

Label 12480dd
Number of curves $1$
Conductor $12480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 12480dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12480.dd1 12480dd1 \([0, 1, 0, -265, 2525]\) \(-32278933504/27421875\) \(-1755000000\) \([]\) \(6720\) \(0.47143\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12480dd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12480dd do not have complex multiplication.

Modular form 12480.2.a.dd

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} + 5 q^{11} + q^{13} + q^{15} - 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display