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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 22080.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22080.cl1 | 22080db1 | \([0, 1, 0, -805, -9085]\) | \(-3525581824/9315\) | \(-152616960\) | \([]\) | \(12288\) | \(0.44532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22080.cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22080.cl do not have complex multiplication.Modular form 22080.2.a.cl
sage: E.q_eigenform(10)