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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 5796.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5796.e1 | 5796g1 | \([0, 0, 0, 15, 173]\) | \(32000/1127\) | \(-13145328\) | \([]\) | \(720\) | \(0.045894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5796.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5796.e do not have complex multiplication.Modular form 5796.2.a.e
sage: E.q_eigenform(10)