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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 303600m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.m1 | 303600m1 | \([0, -1, 0, -11408, -458688]\) | \(2565726409/40986\) | \(2623104000000\) | \([]\) | \(645120\) | \(1.1830\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303600m do not have complex multiplication.Modular form 303600.2.a.m
sage: E.q_eigenform(10)