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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 338100o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.o1 | 338100o1 | \([0, -1, 0, 1867, 31137]\) | \(524288/621\) | \(-852012000000\) | \([]\) | \(322560\) | \(0.97549\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100o do not have complex multiplication.Modular form 338100.2.a.o
sage: E.q_eigenform(10)