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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 207214b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207214.p1 | 207214b1 | \([1, -1, 1, -240797898, -1437731436207]\) | \(32821632562202351169849/11472433944272056\) | \(539730762122583778201336\) | \([]\) | \(88058880\) | \(3.5242\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207214b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207214b do not have complex multiplication.Modular form 207214.2.a.b
sage: E.q_eigenform(10)