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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 59248.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59248.t1 | 59248a1 | \([0, 0, 0, 253, -782]\) | \(3306204/2401\) | \(-1300612096\) | \([]\) | \(16896\) | \(0.43718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 59248.t do not have complex multiplication.Modular form 59248.2.a.t
sage: E.q_eigenform(10)