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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 18515e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18515.q1 | 18515e1 | \([0, 0, 1, 12167, -209881]\) | \(2543616/1715\) | \(-134303339756915\) | \([]\) | \(89424\) | \(1.3996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18515e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18515e do not have complex multiplication.Modular form 18515.2.a.e
sage: E.q_eigenform(10)