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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 25350bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25350.br1 | 25350bt1 | \([1, 0, 1, -56, 158]\) | \(-895973/24\) | \(-507000\) | \([]\) | \(6336\) | \(-0.12330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25350bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25350bt do not have complex multiplication.Modular form 25350.2.a.bt
sage: E.q_eigenform(10)