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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 51600o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.f1 | 51600o1 | \([0, -1, 0, -1608, 94032]\) | \(-8986321250/68555889\) | \(-3510061516800\) | \([]\) | \(74880\) | \(1.0902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600o do not have complex multiplication.Modular form 51600.2.a.o
sage: E.q_eigenform(10)