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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 146523.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.o1 | 146523m1 | \([1, 0, 0, 41098684, -533857579581]\) | \(2307174311/38336139\) | \(-127566142319941122428552259\) | \([]\) | \(40435200\) | \(3.6898\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523.o do not have complex multiplication.Modular form 146523.2.a.o
sage: E.q_eigenform(10)