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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 25200.do
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.do1 | 25200br1 | \([0, 0, 0, 5685, 217285]\) | \(69683121920/110270727\) | \(-32154943993200\) | \([]\) | \(61440\) | \(1.2770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25200.do do not have complex multiplication.Modular form 25200.2.a.do
sage: E.q_eigenform(10)