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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 440818.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.b1 | 440818b1 | \([1, 0, 1, -1129454, -462163392]\) | \(-62103840598801/9340576\) | \(-23965362518471584\) | \([]\) | \(6894720\) | \(2.1560\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 440818.b do not have complex multiplication.Modular form 440818.2.a.b
sage: E.q_eigenform(10)