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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 126925b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126925.b1 | 126925b1 | \([0, 0, 1, -175, 781]\) | \(37933056/5077\) | \(79328125\) | \([]\) | \(158720\) | \(0.24333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126925b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 126925b do not have complex multiplication.Modular form 126925.2.a.b
sage: E.q_eigenform(10)