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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 101150f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101150.i1 | 101150f1 | \([1, 1, 0, -4825, -110875]\) | \(2751936625/458752\) | \(2071552000000\) | \([]\) | \(165888\) | \(1.0845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101150f do not have complex multiplication.Modular form 101150.2.a.f
sage: E.q_eigenform(10)