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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 18515.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18515.a1 | 18515d1 | \([1, -1, 1, -387063, -115871094]\) | \(-81892654209/26796875\) | \(-2098489683701796875\) | \([]\) | \(556416\) | \(2.2281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18515.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18515.a do not have complex multiplication.Modular form 18515.2.a.a
sage: E.q_eigenform(10)