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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 25230f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25230.c1 | 25230f1 | \([1, 1, 0, 1753468, -472141584]\) | \(1417218719/1049760\) | \(-441641625229219001760\) | \([]\) | \(1392000\) | \(2.6497\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25230f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25230f do not have complex multiplication.Modular form 25230.2.a.f
sage: E.q_eigenform(10)