Properties

Label 331200d
Number of curves $1$
Conductor $331200$
CM no
Rank $2$

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

Elliptic curves in class 331200d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331200.d1 331200d1 \([0, 0, 0, -14700, -491600]\) \(2941225/828\) \(98895790080000\) \([]\) \(1474560\) \(1.3924\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331200d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 331200d do not have complex multiplication.

Modular form 331200.2.a.d

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