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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 9464b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9464.a1 | 9464b1 | \([0, 1, 0, -225, 112867]\) | \(-1024/4459\) | \(-5509821780736\) | \([]\) | \(16128\) | \(1.1237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9464b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9464b do not have complex multiplication.Modular form 9464.2.a.b
sage: E.q_eigenform(10)