Properties

Label 324870da
Number of curves $1$
Conductor $324870$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("da1")
 
E.isogeny_class()
 

Elliptic curves in class 324870da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
324870.da1 324870da1 \([1, 0, 1, -1453758, 674542768]\) \(-2888094474031216969/10826524800\) \(-1273729816195200\) \([]\) \(6773760\) \(2.1136\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324870da1 has rank \(1\).

Complex multiplication

The elliptic curves in class 324870da do not have complex multiplication.

Modular form 324870.2.a.da

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{8} + q^{9} - q^{10} + 6 q^{11} + q^{12} + q^{13} + q^{15} + q^{16} - q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display