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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 80920.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80920.o1 | 80920b1 | \([0, 0, 0, -119068, 16291508]\) | \(-30211716096/1071875\) | \(-6623348933600000\) | \([]\) | \(1056000\) | \(1.8081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80920.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80920.o do not have complex multiplication.Modular form 80920.2.a.o
sage: E.q_eigenform(10)