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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 106560.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.w1 | 106560cd1 | \([0, 0, 0, -7900128, -8502790752]\) | \(4565397831743545344/27087483203125\) | \(323531165779200000000\) | \([]\) | \(5591040\) | \(2.7754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106560.w do not have complex multiplication.Modular form 106560.2.a.w
sage: E.q_eigenform(10)