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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 71148.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.o1 | 71148t1 | \([0, -1, 0, -99381, -11976831]\) | \(5767168/27\) | \(508205464816896\) | \([]\) | \(304128\) | \(1.6717\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148.o do not have complex multiplication.Modular form 71148.2.a.o
sage: E.q_eigenform(10)