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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 104400eq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104400.bv1 | 104400eq1 | \([0, 0, 0, -4275, 155250]\) | \(-185193/116\) | \(-5412096000000\) | \([]\) | \(145152\) | \(1.1449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104400eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 104400eq do not have complex multiplication.Modular form 104400.2.a.eq
sage: E.q_eigenform(10)