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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 283220.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283220.c1 | 283220c1 | \([0, 0, 0, -28647703, 47727073198]\) | \(124848/25\) | \(520656803667942845075200\) | \([]\) | \(74850048\) | \(3.2669\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283220.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 283220.c do not have complex multiplication.Modular form 283220.2.a.c
sage: E.q_eigenform(10)