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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 142912be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.b1 | 142912be1 | \([0, 0, 0, 32, -29024]\) | \(221184/22211651\) | \(-363915689984\) | \([]\) | \(221184\) | \(0.89724\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142912be do not have complex multiplication.Modular form 142912.2.a.be
sage: E.q_eigenform(10)