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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 22080co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22080.cb1 | 22080co1 | \([0, 1, 0, 30459, -8987805]\) | \(190737654201344/2245153696875\) | \(-36784598169600000\) | \([]\) | \(153600\) | \(1.8596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22080co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22080co do not have complex multiplication.Modular form 22080.2.a.co
sage: E.q_eigenform(10)