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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 21294be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21294.ba1 | 21294be1 | \([1, -1, 0, -11439, 544077]\) | \(-47045881/8736\) | \(-30739745496096\) | \([]\) | \(53760\) | \(1.3125\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21294be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21294be do not have complex multiplication.Modular form 21294.2.a.be
sage: E.q_eigenform(10)