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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 155848k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155848.p1 | 155848k1 | \([0, 1, 0, -3428, -78883]\) | \(-157216000/1127\) | \(-31944787952\) | \([]\) | \(103680\) | \(0.84804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155848k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155848k do not have complex multiplication.Modular form 155848.2.a.k
sage: E.q_eigenform(10)