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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6069c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6069.e1 | 6069c1 | \([0, -1, 1, 5684, -116577]\) | \(841232384/722211\) | \(-17432417845059\) | \([]\) | \(13824\) | \(1.2284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6069c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6069c do not have complex multiplication.Modular form 6069.2.a.c
sage: E.q_eigenform(10)