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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 66654.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.o1 | 66654t1 | \([1, -1, 0, -11089421280, -449661179964416]\) | \(-2641801258666400088001/1244109469188096\) | \(-71024602542235905770906517504\) | \([]\) | \(101744640\) | \(4.4918\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66654.o do not have complex multiplication.Modular form 66654.2.a.o
sage: E.q_eigenform(10)