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SageMath
E = EllipticCurve("ii1")
E.isogeny_class()
Elliptic curves in class 177450ii
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.t1 | 177450ii1 | \([1, 1, 0, -26598575, -52848142875]\) | \(-1103770289367265/891813888\) | \(-1681490351923200000000\) | \([]\) | \(20109600\) | \(3.0024\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450ii1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450ii do not have complex multiplication.Modular form 177450.2.a.ii
sage: E.q_eigenform(10)