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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 169650er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169650.i1 | 169650er1 | \([1, -1, 0, -26367, 675791]\) | \(263671875/127426\) | \(979736702343750\) | \([]\) | \(950400\) | \(1.5701\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169650er1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169650er do not have complex multiplication.Modular form 169650.2.a.er
sage: E.q_eigenform(10)