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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 130536.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
130536.ch1 | 130536cc1 | \([0, 0, 0, 861, 8638]\) | \(964894/999\) | \(-73083451392\) | \([]\) | \(101376\) | \(0.77136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 130536.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 130536.ch do not have complex multiplication.Modular form 130536.2.a.ch
sage: E.q_eigenform(10)