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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 7605k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7605.t1 | 7605k1 | \([0, 0, 1, -100893, 19378089]\) | \(-32278933504/27421875\) | \(-96490551571171875\) | \([]\) | \(112896\) | \(1.9566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7605k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7605k do not have complex multiplication.Modular form 7605.2.a.k
sage: E.q_eigenform(10)