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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 471510.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.b1 | 471510b1 | \([1, -1, 0, 1573134525, 632871536251761]\) | \(4284106395540116951/1724166870117187500\) | \(-173276771375156912155151367187500\) | \([]\) | \(1675395072\) | \(4.8651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 471510.b do not have complex multiplication.Modular form 471510.2.a.b
sage: E.q_eigenform(10)