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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 60984.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.o1 | 60984ci1 | \([0, 0, 0, 51909, -10922186]\) | \(48334/189\) | \(-60486821853308928\) | \([]\) | \(557568\) | \(1.9028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984.o do not have complex multiplication.Modular form 60984.2.a.o
sage: E.q_eigenform(10)