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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 38646v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.bb1 | 38646v1 | \([1, -1, 1, -10742, -1708027]\) | \(-188024189228569/1625433309184\) | \(-1184940882395136\) | \([]\) | \(163296\) | \(1.5750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646v do not have complex multiplication.Modular form 38646.2.a.v
sage: E.q_eigenform(10)