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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 74529.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74529.o1 | 74529u1 | \([0, 0, 1, 347802, 1763167747]\) | \(32768/9477\) | \(-1345677165152514100179\) | \([]\) | \(1806336\) | \(2.7334\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74529.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74529.o do not have complex multiplication.Modular form 74529.2.a.o
sage: E.q_eigenform(10)