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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 323400n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.n1 | 323400n1 | \([0, -1, 0, -20008, -13309988]\) | \(-9604/825\) | \(-76095373200000000\) | \([]\) | \(2193408\) | \(1.9189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400n do not have complex multiplication.Modular form 323400.2.a.n
sage: E.q_eigenform(10)