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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 141120ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.pq1 | 141120ch1 | \([0, 0, 0, -2352, -340256]\) | \(-1024/35\) | \(-49181724426240\) | \([]\) | \(368640\) | \(1.3075\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120ch do not have complex multiplication.Modular form 141120.2.a.ch
sage: E.q_eigenform(10)