Properties

Label 224400dd
Number of curves $1$
Conductor $224400$
CM no
Rank $1$

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

Elliptic curves in class 224400dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.m1 224400dd1 \([0, -1, 0, 116667, 48954537]\) \(1756160000000/11385833283\) \(-1138583328300000000\) \([]\) \(3801600\) \(2.1465\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400dd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 224400dd do not have complex multiplication.

Modular form 224400.2.a.dd

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + q^{11} - 4 q^{13} + q^{17} + O(q^{20})\) Copy content Toggle raw display