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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 98736.do
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.do1 | 98736dd1 | \([0, 1, 0, 664, -10188]\) | \(65227151/132192\) | \(-65516470272\) | \([]\) | \(144000\) | \(0.75989\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736.do1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736.do do not have complex multiplication.Modular form 98736.2.a.do
sage: E.q_eigenform(10)