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SageMath
E = EllipticCurve("ff1")
E.isogeny_class()
Elliptic curves in class 77616ff
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.cj1 | 77616ff1 | \([0, 0, 0, 14112, -148176]\) | \(884736/539\) | \(-189349639041024\) | \([]\) | \(193536\) | \(1.4288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616ff1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77616ff do not have complex multiplication.Modular form 77616.2.a.ff
sage: E.q_eigenform(10)