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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 392784c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.c1 | 392784c1 | \([0, -1, 0, -22752, 2098944]\) | \(-55164193/48096\) | \(-1135672806998016\) | \([]\) | \(2096640\) | \(1.5861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 392784c do not have complex multiplication.Modular form 392784.2.a.c
sage: E.q_eigenform(10)