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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 18515.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18515.f1 | 18515o1 | \([1, 1, 1, -5830, 1837590]\) | \(-529/35\) | \(-1449927892477715\) | \([]\) | \(88320\) | \(1.5890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18515.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18515.f do not have complex multiplication.Modular form 18515.2.a.f
sage: E.q_eigenform(10)