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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 344760.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.o1 | 344760o1 | \([0, -1, 0, 218799, -21189195]\) | \(937470577664/698407515\) | \(-862996397841826560\) | \([]\) | \(4741632\) | \(2.1298\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760.o do not have complex multiplication.Modular form 344760.2.a.o
sage: E.q_eigenform(10)