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SageMath
E = EllipticCurve("jt1")
E.isogeny_class()
Elliptic curves in class 428400jt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
428400.jt1 | 428400jt1 | \([0, 0, 0, -163875, -75158750]\) | \(-417267265/1850688\) | \(-2158642483200000000\) | \([]\) | \(4147200\) | \(2.2029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 428400jt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 428400jt do not have complex multiplication.Modular form 428400.2.a.jt
sage: E.q_eigenform(10)