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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 25350.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25350.b1 | 25350j1 | \([1, 1, 0, -123750, -16807500]\) | \(-79370312059129/12960\) | \(-34222500000\) | \([]\) | \(161280\) | \(1.4228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25350.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25350.b do not have complex multiplication.Modular form 25350.2.a.b
sage: E.q_eigenform(10)