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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 3234.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3234.o1 | 3234h1 | \([1, 0, 1, -238607, 46487522]\) | \(-260607143968297/11270993184\) | \(-64975032778116384\) | \([]\) | \(58800\) | \(1.9918\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3234.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3234.o do not have complex multiplication.Modular form 3234.2.a.o
sage: E.q_eigenform(10)