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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 323400.dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.dr1 | 323400dr1 | \([0, -1, 0, -35143208, 80336558037]\) | \(-26644869133568/52612659\) | \(-9478172162995593750000\) | \([]\) | \(29352960\) | \(3.1050\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.dr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.dr do not have complex multiplication.Modular form 323400.2.a.dr
sage: E.q_eigenform(10)