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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 87120.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.o1 | 87120db1 | \([0, 0, 0, -63888, 6324912]\) | \(-1216512/25\) | \(-592659434188800\) | \([]\) | \(422400\) | \(1.6262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87120.o do not have complex multiplication.Modular form 87120.2.a.o
sage: E.q_eigenform(10)