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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 5265.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5265.m1 | 5265o1 | \([1, -1, 0, -24, 53]\) | \(-2146689/65\) | \(-47385\) | \([]\) | \(360\) | \(-0.32510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5265.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5265.m do not have complex multiplication.Modular form 5265.2.a.m
sage: E.q_eigenform(10)