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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 266805dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266805.dr1 | 266805dr1 | \([1, -1, 0, -5154, 310085]\) | \(-1459161/3125\) | \(-32430314503125\) | \([]\) | \(554400\) | \(1.2814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266805dr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 266805dr do not have complex multiplication.Modular form 266805.2.a.dr
sage: E.q_eigenform(10)