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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 14994.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.o1 | 14994v1 | \([1, -1, 0, 1944360, 4595577664]\) | \(3947714094191/46599266304\) | \(-9595928587928548368384\) | \([]\) | \(943488\) | \(2.8989\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14994.o do not have complex multiplication.Modular form 14994.2.a.o
sage: E.q_eigenform(10)