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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 60984.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.k1 | 60984x1 | \([0, 0, 0, 429, 8206]\) | \(48334/189\) | \(-34143234048\) | \([]\) | \(50688\) | \(0.70389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984.k do not have complex multiplication.Modular form 60984.2.a.k
sage: E.q_eigenform(10)