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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 121242.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.a1 | 121242c1 | \([1, 1, 0, -5613071, 5116256061]\) | \(-11040006499408683217/52284885048\) | \(-92625863240519928\) | \([]\) | \(3168000\) | \(2.4574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121242.a do not have complex multiplication.Modular form 121242.2.a.a
sage: E.q_eigenform(10)