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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 704l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
704.a1 | 704l1 | \([0, 0, 0, 2, -14]\) | \(13824/1331\) | \(-85184\) | \([]\) | \(96\) | \(-0.37451\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 704l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 704l do not have complex multiplication.Modular form 704.2.a.l
sage: E.q_eigenform(10)