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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 54096.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.o1 | 54096j1 | \([0, -1, 0, -5336, 151824]\) | \(-23923707806/621\) | \(-436230144\) | \([]\) | \(32256\) | \(0.76429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54096.o do not have complex multiplication.Modular form 54096.2.a.o
sage: E.q_eigenform(10)