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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 292032ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
292032.ch1 | 292032ch1 | \([0, 0, 0, -9126, -355914]\) | \(-13824\) | \(-6080389219008\) | \([]\) | \(646272\) | \(1.2026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 292032ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 292032ch do not have complex multiplication.Modular form 292032.2.a.ch
sage: E.q_eigenform(10)