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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 222180.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.o1 | 222180m1 | \([0, 1, 0, 177844, -7168956]\) | \(4593495403625264/2824941065625\) | \(-382564818871200000\) | \([]\) | \(2252160\) | \(2.0630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222180.o do not have complex multiplication.Modular form 222180.2.a.o
sage: E.q_eigenform(10)