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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 409101be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
409101.be1 | 409101be1 | \([0, 1, 1, -2823, 57635]\) | \(-4096000/69\) | \(-41927534187\) | \([]\) | \(342720\) | \(0.83716\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 409101be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 409101be do not have complex multiplication.Modular form 409101.2.a.be
sage: E.q_eigenform(10)