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SageMath
E = EllipticCurve("nr1")
E.isogeny_class()
Elliptic curves in class 141120.nr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.nr1 | 141120jp1 | \([0, 0, 0, -28812, -12638864]\) | \(-196/5\) | \(-67477325912801280\) | \([]\) | \(967680\) | \(1.9098\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.nr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120.nr do not have complex multiplication.Modular form 141120.2.a.nr
sage: E.q_eigenform(10)