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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 95817j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95817.b1 | 95817j1 | \([0, 1, 1, -3922, 102712]\) | \(-1404928/171\) | \(-812267825211\) | \([]\) | \(282240\) | \(1.0202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95817j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 95817j do not have complex multiplication.Modular form 95817.2.a.j
sage: E.q_eigenform(10)