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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 50400dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50400.dr1 | 50400dr1 | \([0, 0, 0, 1800, -54000]\) | \(13824/35\) | \(-1632960000000\) | \([]\) | \(64512\) | \(1.0272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50400dr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 50400dr do not have complex multiplication.Modular form 50400.2.a.dr
sage: E.q_eigenform(10)