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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 84150.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.o1 | 84150by1 | \([1, -1, 0, -152262, 26479156]\) | \(-21420636414894985/4175798730752\) | \(-76103931867955200\) | \([]\) | \(1105920\) | \(1.9626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84150.o do not have complex multiplication.Modular form 84150.2.a.o
sage: E.q_eigenform(10)