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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 6027.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6027.f1 | 6027a1 | \([1, 1, 0, 34618, 22115157]\) | \(38996155237031/1816098112269\) | \(-213662126810335581\) | \([]\) | \(78336\) | \(2.0050\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6027.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6027.f do not have complex multiplication.Modular form 6027.2.a.f
sage: E.q_eigenform(10)