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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 22800o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22800.p1 | 22800o1 | \([0, -1, 0, -123708, 16255287]\) | \(33499672587520/1215051273\) | \(7594070456250000\) | \([]\) | \(126720\) | \(1.8170\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22800o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22800o do not have complex multiplication.Modular form 22800.2.a.o
sage: E.q_eigenform(10)