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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 9450.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.ch1 | 9450dp1 | \([1, -1, 1, -1055, -20303]\) | \(-16875/14\) | \(-107641406250\) | \([]\) | \(11880\) | \(0.81474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.ch do not have complex multiplication.Modular form 9450.2.a.ch
sage: E.q_eigenform(10)