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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 448844c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
448844.c1 | 448844c1 | \([0, -1, 0, -2747469, 1773796729]\) | \(-827392/11\) | \(-30493244830486735616\) | \([]\) | \(10260792\) | \(2.5466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 448844c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 448844c do not have complex multiplication.Modular form 448844.2.a.c
sage: E.q_eigenform(10)