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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 281775m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.m1 | 281775m1 | \([1, 1, 1, -4919653, 4201417556]\) | \(-15101696859749/14414517\) | \(-12569021777646374625\) | \([]\) | \(9870336\) | \(2.5865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 281775m do not have complex multiplication.Modular form 281775.2.a.m
sage: E.q_eigenform(10)