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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 380926.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380926.t1 | 380926t1 | \([1, 0, 1, -53044, -4704542]\) | \(16941416401/8464\) | \(8246063587216\) | \([]\) | \(870912\) | \(1.4312\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380926.t do not have complex multiplication.Modular form 380926.2.a.t
sage: E.q_eigenform(10)