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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 248430.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.e1 | 248430e1 | \([1, 1, 0, -218663, -40671483]\) | \(-58153757003329/2126250000\) | \(-42275550476250000\) | \([]\) | \(3225600\) | \(1.9615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430.e do not have complex multiplication.Modular form 248430.2.a.e
sage: E.q_eigenform(10)