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SageMath
E = EllipticCurve("ff1")
E.isogeny_class()
Elliptic curves in class 141120ff
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.cp1 | 141120ff1 | \([0, 0, 0, -588, -36848]\) | \(-196/5\) | \(-573547806720\) | \([]\) | \(138240\) | \(0.93687\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120ff1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120ff do not have complex multiplication.Modular form 141120.2.a.ff
sage: E.q_eigenform(10)