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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 76230.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76230.o1 | 76230f1 | \([1, -1, 0, -105, -819]\) | \(-39397347/71680\) | \(-234178560\) | \([]\) | \(29568\) | \(0.29608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76230.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76230.o do not have complex multiplication.Modular form 76230.2.a.o
sage: E.q_eigenform(10)