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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 254320t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.t1 | 254320t1 | \([0, -1, 0, -52405, -4721575]\) | \(-8912896/275\) | \(-491093323846400\) | \([]\) | \(998784\) | \(1.5960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254320t do not have complex multiplication.Modular form 254320.2.a.t
sage: E.q_eigenform(10)