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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 3648.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3648.t1 | 3648t1 | \([0, 1, 0, -287, 1779]\) | \(-40992251392/1539\) | \(-98496\) | \([]\) | \(768\) | \(0.044550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3648.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3648.t do not have complex multiplication.Modular form 3648.2.a.t
sage: E.q_eigenform(10)