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SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 186200ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
186200.dr1 | 186200ed1 | \([0, -1, 0, -11433, -1107763]\) | \(-7168/19\) | \(-438124876000000\) | \([]\) | \(516096\) | \(1.4970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 186200ed1 has rank \(0\).
Complex multiplication
The elliptic curves in class 186200ed do not have complex multiplication.Modular form 186200.2.a.ed
sage: E.q_eigenform(10)