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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 85800cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.i1 | 85800cd1 | \([0, -1, 0, -824208, 308324412]\) | \(-154801343130820/12902060457\) | \(-5160824182800000000\) | \([]\) | \(1900800\) | \(2.3361\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85800cd do not have complex multiplication.Modular form 85800.2.a.cd
sage: E.q_eigenform(10)