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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 49725e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49725.s1 | 49725e1 | \([0, 0, 1, -7500, -24219]\) | \(6553600/3757\) | \(26746611328125\) | \([]\) | \(72000\) | \(1.2661\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49725e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 49725e do not have complex multiplication.Modular form 49725.2.a.e
sage: E.q_eigenform(10)