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SageMath
E = EllipticCurve("ku1")
E.isogeny_class()
Elliptic curves in class 187200.ku
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.ku1 | 187200ne1 | \([0, 0, 0, -59700, 8820250]\) | \(-32278933504/27421875\) | \(-19990546875000000\) | \([]\) | \(1290240\) | \(1.8255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.ku1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.ku do not have complex multiplication.Modular form 187200.2.a.ku
sage: E.q_eigenform(10)