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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 53361.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53361.o1 | 53361bq1 | \([1, -1, 1, 158971, -134845378]\) | \(24167/441\) | \(-8107665808844335041\) | \([]\) | \(1216512\) | \(2.3087\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53361.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53361.o do not have complex multiplication.Modular form 53361.2.a.o
sage: E.q_eigenform(10)