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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 72128.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72128.ch1 | 72128j1 | \([0, 0, 0, -1650124, -827774248]\) | \(-4124632486295808/70140333767\) | \(-8449986690410273792\) | \([]\) | \(2064384\) | \(2.4303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72128.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72128.ch do not have complex multiplication.Modular form 72128.2.a.ch
sage: E.q_eigenform(10)