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SageMath
E = EllipticCurve("ij1")
E.isogeny_class()
Elliptic curves in class 177450ij
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.u1 | 177450ij1 | \([1, 1, 0, 136655425, 2649156389625]\) | \(149687036429469215/1694528470472292\) | \(-3194986434387458311026562500\) | \([]\) | \(137168640\) | \(3.9586\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450ij1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450ij do not have complex multiplication.Modular form 177450.2.a.ij
sage: E.q_eigenform(10)