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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 51376e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51376.j1 | 51376e1 | \([0, -1, 0, -1408, 29600]\) | \(-31250/19\) | \(-187820791808\) | \([]\) | \(37440\) | \(0.86530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51376e do not have complex multiplication.Modular form 51376.2.a.e
sage: E.q_eigenform(10)