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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 60984j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.bb1 | 60984j1 | \([0, 0, 0, -143748, -20555964]\) | \(304128/7\) | \(7560852731663616\) | \([]\) | \(405504\) | \(1.8331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984j do not have complex multiplication.Modular form 60984.2.a.j
sage: E.q_eigenform(10)