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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 40425bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40425.t1 | 40425bt1 | \([1, 0, 0, -638, -6483]\) | \(-765625/33\) | \(-1238015625\) | \([]\) | \(20736\) | \(0.51054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40425bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40425bt do not have complex multiplication.Modular form 40425.2.a.bt
sage: E.q_eigenform(10)