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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 22848.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.o1 | 22848a1 | \([0, -1, 0, 79, -213]\) | \(841232384/722211\) | \(-46221504\) | \([]\) | \(3840\) | \(0.15832\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22848.o do not have complex multiplication.Modular form 22848.2.a.o
sage: E.q_eigenform(10)