Properties

Label 323400.m
Number of curves $1$
Conductor $323400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.m1 323400m1 \([0, -1, 0, 782367, -67914363]\) \(112539892736/69328875\) \(-32625891259500000000\) \([]\) \(6635520\) \(2.4334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.m1 has rank \(2\).

Complex multiplication

The elliptic curves in class 323400.m do not have complex multiplication.

Modular form 323400.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} - 4 q^{13} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display