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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 155526.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.o1 | 155526df1 | \([1, 1, 0, -22516, -969968]\) | \(59141119/15552\) | \(331989447617856\) | \([]\) | \(645120\) | \(1.4951\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526.o do not have complex multiplication.Modular form 155526.2.a.o
sage: E.q_eigenform(10)