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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 10830.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10830.f1 | 10830f1 | \([1, 1, 0, -1117302, -458611884]\) | \(-9082538350921/82944000\) | \(-1408684652872704000\) | \([]\) | \(426816\) | \(2.3051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10830.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10830.f do not have complex multiplication.Modular form 10830.2.a.f
sage: E.q_eigenform(10)