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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 115596.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
115596.o1 | 115596v1 | \([0, 0, 0, -32448, 2258516]\) | \(-4194304/19\) | \(-17115169653504\) | \([]\) | \(311040\) | \(1.3909\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115596.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 115596.o do not have complex multiplication.Modular form 115596.2.a.o
sage: E.q_eigenform(10)