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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 92778.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92778.o1 | 92778r1 | \([1, 1, 1, -19620384, -33471575979]\) | \(-15880626913/6804\) | \(-357884495732587653396\) | \([]\) | \(6948480\) | \(2.9042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92778.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92778.o do not have complex multiplication.Modular form 92778.2.a.o
sage: E.q_eigenform(10)