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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 7448.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7448.e1 | 7448u1 | \([0, 1, 0, 5, 6]\) | \(14336/19\) | \(-14896\) | \([]\) | \(384\) | \(-0.51343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7448.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7448.e do not have complex multiplication.Modular form 7448.2.a.e
sage: E.q_eigenform(10)