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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 286110.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.b1 | 286110b1 | \([1, -1, 0, 130056015, 4023845123741]\) | \(1771872122095677/51969104281600\) | \(-7135557252400974245186764800\) | \([]\) | \(339586560\) | \(4.0246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286110.b do not have complex multiplication.Modular form 286110.2.a.b
sage: E.q_eigenform(10)