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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 45486.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45486.e1 | 45486r1 | \([1, -1, 0, -24435, -36129461]\) | \(-361/126\) | \(-563162960044053054\) | \([]\) | \(612864\) | \(2.0852\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45486.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45486.e do not have complex multiplication.Modular form 45486.2.a.e
sage: E.q_eigenform(10)