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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 169050.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169050.cf1 | 169050ev1 | \([1, 0, 1, -169076, -26746702]\) | \(11631015625/13248\) | \(608833575000000\) | \([]\) | \(1088640\) | \(1.7502\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169050.cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169050.cf do not have complex multiplication.Modular form 169050.2.a.cf
sage: E.q_eigenform(10)