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SageMath
E = EllipticCurve("ib1")
E.isogeny_class()
Elliptic curves in class 177600ib
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.u1 | 177600ib1 | \([0, -1, 0, 27167, 11005537]\) | \(541343375/13108878\) | \(-53693964288000000\) | \([]\) | \(1216512\) | \(1.8904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600ib1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177600ib do not have complex multiplication.Modular form 177600.2.a.ib
sage: E.q_eigenform(10)