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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 121242t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.z1 | 121242t1 | \([1, 1, 1, -10508913, -13116857841]\) | \(-72450434397496515625/705408\) | \(-1249673301888\) | \([]\) | \(3091200\) | \(2.3538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121242t do not have complex multiplication.Modular form 121242.2.a.t
sage: E.q_eigenform(10)