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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 82800.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82800.v1 | 82800fi1 | \([0, 0, 0, -253875, 48411250]\) | \(1551443665/29808\) | \(34768051200000000\) | \([]\) | \(737280\) | \(1.9670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 82800.v do not have complex multiplication.Modular form 82800.2.a.v
sage: E.q_eigenform(10)