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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 148225.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148225.bt1 | 148225bs1 | \([1, -1, 0, -14317, -1426034]\) | \(-1459161/3125\) | \(-695094189453125\) | \([]\) | \(950400\) | \(1.5368\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148225.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 148225.bt do not have complex multiplication.Modular form 148225.2.a.bt
sage: E.q_eigenform(10)