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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 1050.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1050.o1 | 1050q1 | \([1, 0, 0, -763, -9733]\) | \(-125768785/30618\) | \(-11960156250\) | \([]\) | \(840\) | \(0.65217\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1050.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1050.o do not have complex multiplication.Modular form 1050.2.a.o
sage: E.q_eigenform(10)