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SageMath
E = EllipticCurve("ka1")
E.isogeny_class()
Elliptic curves in class 141120.ka
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.ka1 | 141120is1 | \([0, 0, 0, -252, -3024]\) | \(-3024/5\) | \(-2926264320\) | \([]\) | \(64512\) | \(0.50729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.ka1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120.ka do not have complex multiplication.Modular form 141120.2.a.ka
sage: E.q_eigenform(10)