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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 369800.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369800.f1 | 369800f1 | \([0, 1, 0, -15408, 317286688]\) | \(-2/215\) | \(-43490977777120000000\) | \([]\) | \(9934848\) | \(2.4471\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369800.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 369800.f do not have complex multiplication.Modular form 369800.2.a.f
sage: E.q_eigenform(10)