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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 303450.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.m1 | 303450m1 | \([1, 1, 0, -2275, 46375]\) | \(-288568081/47250\) | \(-213363281250\) | \([]\) | \(466560\) | \(0.90133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.m do not have complex multiplication.Modular form 303450.2.a.m
sage: E.q_eigenform(10)