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SageMath
E = EllipticCurve("io1")
E.isogeny_class()
Elliptic curves in class 177870.io
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.io1 | 177870r1 | \([1, 0, 0, -34040630, -25931039100]\) | \(3432365662485529/1757812500000\) | \(2234063329890820312500000\) | \([]\) | \(35481600\) | \(3.3644\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870.io1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177870.io do not have complex multiplication.Modular form 177870.2.a.io
sage: E.q_eigenform(10)