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SageMath
E = EllipticCurve("io1")
E.isogeny_class()
Elliptic curves in class 177870io
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.s1 | 177870io1 | \([1, 1, 0, -11288, -493632]\) | \(-3833145796183/270000000\) | \(-11205810000000\) | \([]\) | \(564480\) | \(1.2543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870io1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177870io do not have complex multiplication.Modular form 177870.2.a.io
sage: E.q_eigenform(10)