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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 105264.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105264.t1 | 105264bx1 | \([0, 0, 0, -898083, -741495006]\) | \(-26827837227982881/64019602866176\) | \(-191161509844755677184\) | \([]\) | \(2419200\) | \(2.5798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105264.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105264.t do not have complex multiplication.Modular form 105264.2.a.t
sage: E.q_eigenform(10)