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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 94864.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94864.b1 | 94864di1 | \([0, 0, 0, 189728, -7304528]\) | \(884736/539\) | \(-460143259107209216\) | \([]\) | \(1658880\) | \(2.0784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94864.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94864.b do not have complex multiplication.Modular form 94864.2.a.b
sage: E.q_eigenform(10)