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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 52800o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.n1 | 52800o1 | \([0, -1, 0, -12320833, -17201350463]\) | \(-323194518662500/12784876137\) | \(-8182320727680000000000\) | \([]\) | \(3793920\) | \(2.9733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52800o do not have complex multiplication.Modular form 52800.2.a.o
sage: E.q_eigenform(10)