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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 28322.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.o1 | 28322p1 | \([1, -1, 1, -13165305, -18427029351]\) | \(-369140625/1024\) | \(-700042761234208867328\) | \([]\) | \(3198720\) | \(2.8727\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28322.o do not have complex multiplication.Modular form 28322.2.a.o
sage: E.q_eigenform(10)