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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 2646t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2646.u1 | 2646t1 | \([1, -1, 1, -293, 2013]\) | \(-33268701/256\) | \(-21337344\) | \([]\) | \(768\) | \(0.23587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2646t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2646t do not have complex multiplication.Modular form 2646.2.a.t
sage: E.q_eigenform(10)