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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 12600o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12600.y1 | 12600o1 | \([0, 0, 0, -255, -1685]\) | \(-6288640/567\) | \(-165337200\) | \([]\) | \(3072\) | \(0.32015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12600o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12600o do not have complex multiplication.Modular form 12600.2.a.o
sage: E.q_eigenform(10)