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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 97461.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.o1 | 97461u1 | \([0, 0, 1, -399252, 100468044]\) | \(-239251750912/9771957\) | \(-287469276338797371\) | \([]\) | \(1175552\) | \(2.1176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97461.o do not have complex multiplication.Modular form 97461.2.a.o
sage: E.q_eigenform(10)