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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 13872.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.e1 | 13872v1 | \([0, -1, 0, -249, -1440]\) | \(-370720768/2187\) | \(-10112688\) | \([]\) | \(3024\) | \(0.18459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13872.e do not have complex multiplication.Modular form 13872.2.a.e
sage: E.q_eigenform(10)