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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 2925.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2925.o1 | 2925q1 | \([1, -1, 0, -10242, 417541]\) | \(-417267265/19773\) | \(-5630670703125\) | \([]\) | \(5760\) | \(1.2093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2925.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2925.o do not have complex multiplication.Modular form 2925.2.a.o
sage: E.q_eigenform(10)