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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 405600eq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.eq1 | 405600eq1 | \([0, 1, 0, 281667, -93482037]\) | \(12800/27\) | \(-5212953720000000000\) | \([]\) | \(6462720\) | \(2.2758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600eq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600eq do not have complex multiplication.Modular form 405600.2.a.eq
sage: E.q_eigenform(10)