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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 87120.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.k1 | 87120es1 | \([0, 0, 0, -203643, -76689558]\) | \(-1459161/3125\) | \(-2000225590387200000\) | \([]\) | \(1182720\) | \(2.2006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 87120.k do not have complex multiplication.Modular form 87120.2.a.k
sage: E.q_eigenform(10)