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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 14896r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14896.w1 | 14896r1 | \([0, 1, 0, -408, -4684]\) | \(-31250/19\) | \(-4577957888\) | \([]\) | \(5280\) | \(0.55578\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14896r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14896r do not have complex multiplication.Modular form 14896.2.a.r
sage: E.q_eigenform(10)