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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 370881.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.f1 | 370881f1 | \([0, 0, 1, -865389, 1127241288]\) | \(-4096/29\) | \(-507453057712185494427\) | \([]\) | \(16934400\) | \(2.6562\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 370881.f do not have complex multiplication.Modular form 370881.2.a.f
sage: E.q_eigenform(10)