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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 58800.ev
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.ev1 | 58800ez1 | \([0, -1, 0, -1196008, -578745488]\) | \(-1231272543361/230400000\) | \(-35404185600000000000\) | \([]\) | \(1797120\) | \(2.4754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ev1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.ev do not have complex multiplication.Modular form 58800.2.a.ev
sage: E.q_eigenform(10)