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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 254100.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.o1 | 254100o1 | \([0, -1, 0, -5161658, 4515517437]\) | \(-34339609640704/916839\) | \(-406059053919750000\) | \([]\) | \(6048000\) | \(2.4837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254100.o do not have complex multiplication.Modular form 254100.2.a.o
sage: E.q_eigenform(10)