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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 119025.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119025.k1 | 119025bv1 | \([0, 0, 1, -39675, -975344]\) | \(2166784/1125\) | \(3586009376953125\) | \([]\) | \(884736\) | \(1.6766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119025.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119025.k do not have complex multiplication.Modular form 119025.2.a.k
sage: E.q_eigenform(10)