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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 42336.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42336.cq1 | 42336ch1 | \([0, 0, 0, -10584, -444528]\) | \(-13824\) | \(-9485046853632\) | \([]\) | \(95040\) | \(1.2397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42336.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42336.cq do not have complex multiplication.Modular form 42336.2.a.cq
sage: E.q_eigenform(10)