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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 2368.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2368.e1 | 2368n1 | \([0, -1, 0, -3, 1]\) | \(64000/37\) | \(2368\) | \([]\) | \(64\) | \(-0.66303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2368.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2368.e do not have complex multiplication.Modular form 2368.2.a.e
sage: E.q_eigenform(10)