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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 28830.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28830.l1 | 28830r1 | \([1, 0, 1, -195584, 37588046]\) | \(-932288503609/148800000\) | \(-132060547732800000\) | \([]\) | \(345600\) | \(2.0133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28830.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28830.l do not have complex multiplication.Modular form 28830.2.a.l
sage: E.q_eigenform(10)