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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 161700.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.l1 | 161700cw1 | \([0, -1, 0, -7229133, 7481579337]\) | \(2219597331865600/733776813\) | \(13812497323621920000\) | \([]\) | \(5031936\) | \(2.6458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161700.l do not have complex multiplication.Modular form 161700.2.a.l
sage: E.q_eigenform(10)