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SageMath
E = EllipticCurve("fe1")
E.isogeny_class()
Elliptic curves in class 82800fe
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82800.cl1 | 82800fe1 | \([0, 0, 0, -66000, 6550000]\) | \(-5451776/23\) | \(-134136000000000\) | \([]\) | \(268800\) | \(1.5655\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800fe1 has rank \(0\).
Complex multiplication
The elliptic curves in class 82800fe do not have complex multiplication.Modular form 82800.2.a.fe
sage: E.q_eigenform(10)