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SageMath
E = EllipticCurve("ku1")
E.isogeny_class()
Elliptic curves in class 141120ku
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.oh1 | 141120ku1 | \([0, 0, 0, -6449772, -6304795504]\) | \(-215474070728/3645\) | \(-501948679494205440\) | \([]\) | \(2838528\) | \(2.5265\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120ku1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120ku do not have complex multiplication.Modular form 141120.2.a.ku
sage: E.q_eigenform(10)