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SageMath
E = EllipticCurve("ik1")
E.isogeny_class()
Elliptic curves in class 177450.ik
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.ik1 | 177450bs1 | \([1, 0, 0, -424544988, -3386222727408]\) | \(-112205650221491190337/745029571313664\) | \(-56189303751295862784000000\) | \([]\) | \(86365440\) | \(3.7765\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.ik1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177450.ik do not have complex multiplication.Modular form 177450.2.a.ik
sage: E.q_eigenform(10)