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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 7650.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7650.o1 | 7650bg1 | \([1, -1, 0, -4617, 102541]\) | \(38226865/6528\) | \(1858950000000\) | \([]\) | \(13440\) | \(1.0748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7650.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7650.o do not have complex multiplication.Modular form 7650.2.a.o
sage: E.q_eigenform(10)