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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 162624.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.o1 | 162624cc1 | \([0, -1, 0, -14197, 507949]\) | \(90112/21\) | \(73753174032384\) | \([]\) | \(405504\) | \(1.3729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162624.o do not have complex multiplication.Modular form 162624.2.a.o
sage: E.q_eigenform(10)