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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 37180.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37180.e1 | 37180h1 | \([0, 0, 0, 208, 676]\) | \(1769472/1375\) | \(-773344000\) | \([]\) | \(13824\) | \(0.39355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37180.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 37180.e do not have complex multiplication.Modular form 37180.2.a.e
sage: E.q_eigenform(10)