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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 2541e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2541.b1 | 2541e1 | \([0, -1, 1, -700, -6876]\) | \(313944395776/1240029\) | \(150043509\) | \([]\) | \(2112\) | \(0.42610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2541e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2541e do not have complex multiplication.Modular form 2541.2.a.e
sage: E.q_eigenform(10)