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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 303600.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.k1 | 303600k1 | \([0, -1, 0, -116868133, -486253373363]\) | \(-2758240050247355723776/37817291221875\) | \(-2420306638200000000000\) | \([]\) | \(43545600\) | \(3.2449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303600.k do not have complex multiplication.Modular form 303600.2.a.k
sage: E.q_eigenform(10)