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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 60984.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.a1 | 60984bb1 | \([0, 0, 0, 2064381, 2722728206]\) | \(50250332/194481\) | \(-3765576851066820658176\) | \([]\) | \(2703360\) | \(2.8228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984.a do not have complex multiplication.Modular form 60984.2.a.a
sage: E.q_eigenform(10)