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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 68445k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68445.a1 | 68445k1 | \([0, 0, 1, -4563, 103808]\) | \(36864/5\) | \(1425091223205\) | \([]\) | \(155520\) | \(1.0593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68445k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68445k do not have complex multiplication.Modular form 68445.2.a.k
sage: E.q_eigenform(10)