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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 121242l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.l1 | 121242l1 | \([1, 0, 1, -6536786, -14849520028]\) | \(-17436539892199632625/43677004062523392\) | \(-77376476994008002854912\) | \([]\) | \(10264320\) | \(3.0798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121242l do not have complex multiplication.Modular form 121242.2.a.l
sage: E.q_eigenform(10)