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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 63426.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.j1 | 63426n1 | \([1, 0, 1, -2923863, 2230278682]\) | \(-104553677431/20785248\) | \(-549554103635842581408\) | \([]\) | \(4364800\) | \(2.7025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426.j do not have complex multiplication.Modular form 63426.2.a.j
sage: E.q_eigenform(10)