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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 48400.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48400.e1 | 48400dl1 | \([0, 0, 0, -710875, 890106250]\) | \(-2803221/22528\) | \(-319277809664000000000\) | \([]\) | \(2534400\) | \(2.6172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 48400.e do not have complex multiplication.Modular form 48400.2.a.e
sage: E.q_eigenform(10)