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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 4176.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4176.l1 | 4176h1 | \([0, 0, 0, -723, -7486]\) | \(-55990084/29\) | \(-21648384\) | \([]\) | \(960\) | \(0.35858\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4176.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4176.l do not have complex multiplication.Modular form 4176.2.a.l
sage: E.q_eigenform(10)