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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 190575.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.o1 | 190575o1 | \([0, 0, 1, -7425, 412156]\) | \(-80621568/84035\) | \(-47186965546875\) | \([]\) | \(645120\) | \(1.3190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 190575.o do not have complex multiplication.Modular form 190575.2.a.o
sage: E.q_eigenform(10)