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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 77658.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.o1 | 77658u1 | \([1, 0, 1, -3077390585, -39130754228068]\) | \(509871621645082002682657/190423143557704974336\) | \(1203733823360098624011083710464\) | \([]\) | \(176964480\) | \(4.4717\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77658.o do not have complex multiplication.Modular form 77658.2.a.o
sage: E.q_eigenform(10)