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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 119952.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.e1 | 119952dt1 | \([0, 0, 0, -460992, -131574800]\) | \(-629407744/70227\) | \(-1208859736448544768\) | \([]\) | \(2419200\) | \(2.2070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.e do not have complex multiplication.Modular form 119952.2.a.e
sage: E.q_eigenform(10)