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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 248768.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248768.o1 | 248768o1 | \([0, -1, 0, -2929, -62167]\) | \(-562432/23\) | \(-113681005568\) | \([]\) | \(225792\) | \(0.88893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248768.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248768.o do not have complex multiplication.Modular form 248768.2.a.o
sage: E.q_eigenform(10)