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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 5915.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5915.k1 | 5915h1 | \([0, 0, 1, -2197, 207067]\) | \(-1437696/21875\) | \(-17844109521875\) | \([]\) | \(39000\) | \(1.2241\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5915.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5915.k do not have complex multiplication.Modular form 5915.2.a.k
sage: E.q_eigenform(10)