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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 82800.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82800.c1 | 82800eu1 | \([0, 0, 0, 172561200, 381042249500]\) | \(194879272239195815936/134287459716796875\) | \(-391582232534179687500000000\) | \([]\) | \(33546240\) | \(3.7913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 82800.c do not have complex multiplication.Modular form 82800.2.a.c
sage: E.q_eigenform(10)